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[Axiom-developer] Re: About Schaums.
From: |
root |
Subject: |
[Axiom-developer] Re: About Schaums. |
Date: |
Wed, 30 Apr 2008 14:58:05 -0400 |
How many integrals is there in the book ? ... 619
How many do you test ? (all ?!) .... all
How many are immediately the same ?
How many are false ? (no one I expect !)
How many differs ?
Do you have any idea about the result of others CAS ?
.... no but this effort is called CATS (Computer Algebra Test Suite)
and is intended to be tested against, and used as a standard for test
against, other systems. I plan to test other systems as time permits.
All of these results can be found in the axiom distribution under
src/input/schaum*.input.pamphlet
===============================================================
619 integrals
237 agreements (differ by 0) (38%)
134 differ by a constant (22%)
371 total (60%)
108 simplification failures (17.5%)
135 integrals not in closed form (21.5%)
243 total (39%)
There were a few "other" answers which were not part of the above.
Of interest was:
Axiom found 2 typos in Schaums (1968 printing 4)
Differing by a constant seems to be related to the choice of
signs and branch cuts. There is much of interest to be learned
by these values which I hope to explore later.
Axiom has a closed form for 2 integrals where Schaums has series.
Axiom claims to be a "decision procedure" for elementary integrals.
If there is a closed form for the result, Axiom will return it.
If Axiom returns the original integral, then no closed form exists.
It is undecided if the values that did not simplify agree with Schaums.
These simplifications will be checked in more detail using Axiom and
other computer algebra systems. In particular, this has caused me to
work on a more general purpose simplification procedure for Axiom.
(Spiegel, Murray R.; Schaums Mathematical Handbook, 1968, printing 4)
(Axiom March 2008 release)
14:59 Schaums and Axiom agree
14:60 Schaums and Axiom agree
14:61 Schaums and Axiom differ by a constant
14:62 Schaums and Axiom differ by a constant
14:63 Schaums and Axiom agree
14:64 Schaums and Axiom agree
14:65 Schaums and Axiom agree
14:66 Schaums and Axiom agree
14:67 Schaums and Axiom agree
14:68 Schaums and Axiom differ by a constant
14:69 Schaums and Axiom differ by a constant
14:70 Schaums and Axiom agree
14:71 Schaums and Axiom agree
14:72 Schaums and Axiom differ by a constant
14:73 Schaums and Axiom differ by a constant
14:74 Schaums and Axiom agree
14:75 Schaums and Axiom agree
14:76 Schaums and Axiom agree
14:77 Schaums and Axiom differ by a constant
14:78 Schaums and Axiom agree
14:79 Schaums and Axiom agree
14:80 Schaums and Axiom agree
14:82 Schaums and Axiom agree
14:83 Axiom cannot do this integration
14:84 Schaums and Axiom agree
14:85 Schaums and Axiom agree
14:86 Schaums and Axiom agree
14:87a Schaums and Axiom differ by a constant
14:87b Schaums and Axiom differ by a constant
14:88 Schaums and Axiom differ by a constant
14:89 Schaums and Axiom differ by a constant
14:90 Schaums and Axiom agree
14:91 Axiom cannot simplify this expression. Schaums typo?
14:92 Axiom cannot simplify this expression
14:93 Schaums and Axiom agree
14:94 Axiom cannot do this integral
14:95 Axiom cannot do this integral
14:96 Axiom cannot do this integral
14:97 Axiom cannot do this integral
14:98 Axiom cannot do this integral
14:99 Schaums and Axiom agree
14:xxx Schaums and Axiom agree
14:100 Schaums and Axiom agree
14:101 Schaums and Axiom agree
14:102 Axiom cannot do this integral
14:103 Axiom cannot do this integral
14:104 Axiom cannot do this integral
14:105 Schaums and Axiom agree
14:106 Schaums and Axiom agree
14:107 Schaums and Axiom agree
14:108 Schaums and Axiom agree
14:109 Schaums and Axiom agree
14:110 Axiom cannot do this integral
14:111 Schaums and Axiom agree
14:112 Axiom cannot do this integral
14:113 Schaums and Axiom agree
14:114 Axiom cannot simplify these answers
14:115 Axiom cannot simplify these answers
14:116 Axiom cannot compute this integral
14:117 Axiom cannot compute this integral
14:118 Axiom cannot compute this integral
14:119 Axiom cannot compute this integral
14:120 Axiom cannot simplify these answers
14:121 Axiom cannot simplify this answer
14:122 Axiom cannot simplify this answer
14:123 Axiom cannot simplify these results
14:124 Axiom cannot simplify this result
14:125 Schaums and Axiom agree
14:126 Schaums and Axiom agree
14:127 Schaums and Axiom agree
14:128 Schaums and Axiom agree
14:129 Schaums and Axiom agree
14:130 Schaums and Axiom agree
14:131 Schaums and Axiom agree
14:132 Schaums and Axiom agree
14:133 Schaums and Axiom agree
14:134 Schaums and Axiom agree
14:135 Schaums and Axiom agree
14:136 Schaums and Axiom agree
14:137 Schaums and Axiom agree
14:138 Schaums and Axiom agree
14:139 Axiom cannot do this integral
14:140 Schaums and Axiom agree
14:141 Axiom cannot do this integral
14:142 Axiom cannot do this integral
14:143 Axiom cannot do this integral
14:144 Schaums and Axiom agree
14:145 Schaums and Axiom agree
14:146 Schaums and Axiom agree
14:147 Schaums and Axiom agree
14:148 Schaums and Axiom agree
14:149 Schaums and Axiom agree
14:150 Schaums and Axiom agree
14:151 Schaums and Axiom agree
14:152 Schaums and Axiom agree
14:153 Schaums and Axiom agree
14:154 Schaums and Axiom agree
14:155 Schaums and Axiom agree
14:156 Schaums and Axiom agree
14:157 Schaums and Axiom agree
14:158 Axiom cannot do this integral
14:159 Schaums and Axiom agree
14:160 Axiom cannot compute this integral
14:161 Axiom cannot compute this integral
14:162 Axiom cannot compute this integral
14:163 Schaums and Axiom differ by a constant
14:164 Schaums and Axiom differ by a constant
14:165 Schaums and Axiom differ by a constant
14:166 Schaums and Axiom differ by a constant
14:167 Schaums and Axiom differ by a constant
14:168 Schaums and Axiom differ by a constant
14:169 Schaums and Axiom differ by a constant
14:170 Schaums and Axiom differ by a constant
14:171 Schaums and Axiom agree
14:172 Schaums and Axiom differ by a constant
14:173 Schaums and Axiom differ by a constant
14:174 Schaums and Axiom differ by a constant
14:175 Schaums and Axiom differ by a constant
14:176 Schaums and Axiom differ by a constant
14:177 Axiom cannot do this integration
14:178 Schaums and Axiom agree
14:179 Axiom cannot integrate this expression
14:180 Axiom cannot integrate this expression
14:181 Axiom cannot integrate this expression
14:182 Schaums and Axiom differ by a constant
14:183 Schaums and Axiom agree
14:184 Schaums and Axiom differ by a constant
14:185 Schaums and Axiom agree
14:186 Schaums and Axiom differ by a constant
14:187 Schaums and Axiom differ by a constant
14:188 Schaums and Axiom differ by a constant
14:189 Schaums and Axiom differ by a constant
14:190 Schaums and Axiom agree
14:191 Schaums and Axiom differ by a constant
14:192 Schaums and Axiom agree
14:193 Schaums and Axiom differ by a constant
14:194 Schaums and Axiom differ by a constant
14:195 Schaums and Axiom differ by a constant
14:196 Schaums and Axiom differ by a constant
14:197 Schaums and Axiom agree
14:198 Schaums and Axiom differ by a constant
14:199 Schaums and Axiom agree
14:200 Schaums and Axiom differ by a constant
14:201 Schaums and Axiom differ by a constant
14:202 Schaums and Axiom differ by a constant
14:203 Schaums and Axiom differ by a constant
14:204 Schaums and Axiom agree
14:205 Schaums and Axiom differ by a constant
14:206 Schaums and Axiom agree
14:207 Schaums and Axiom differ by a constant
14:208 Schaums and Axiom differ by a constant
14:209 Schaums and Axiom differ by a constant
14:210 Schaums and Axiom differ by a constant
14:211 Schaums and Axiom differ by a constant
14:212 Schaums and Axiom agree
14:213 Schaums and Axiom differ by a constant
14:214 Schaums and Axiom differ by a constant
14:215 Schaums and Axiom differ by a constant
14:216 Schaums and Axiom differ by a constant
14:217 Schaums and Axiom agree
14:218 Schaums and Axiom differ by a constant
14:219 Schaums and Axiom agree
14:220 Schaums and Axiom differ by a constant
14:221 Schaums and Axiom differ by a constant
14:222 Schaums and Axiom differ by a constant
14:223 Schaums and Axiom differ by a constant
14:224 Schaums and Axiom agree
14:225 Schaums and Axiom differ by a constant
14:226 Schaums and Axiom agree
14:227 Schaums and Axiom differ by a constant
14:228 Schaums and Axiom differ by a constant
14:229 Schaums and Axiom differ by a constant
14:230 Schaums and Axiom differ by a constant
14:231 Schaums and Axiom agree
14:232 Schaums and Axiom differ by a constant
14:233 Schaums and Axiom agree
14:234 Schaums and Axiom differ by a constant
14:235 Schaums and Axiom differ by a constant
14:236 Schaums and Axiom differ by a constant
14:238 Schaums and Axiom agree
14:238 Schaums and Axiom differ by a constant
14:239 Schaums and Axiom agree
14:240 Schaums and Axiom differ by a constant
14:241 Schaums and Axiom differ by a constant
14:242 Schaums and Axiom agree
14:243 Schaums and Axiom differ by a constant
14:244 Schaums and Axiom agree
14:245 Schaums and Axiom differ by a constant
14:246 Schaums and Axiom agree
14:247 Schaums and Axiom differ by a constant
14:248 Schaums and Axiom differ by a constant
14:249 Schaums and Axiom agree
14:250 Schaums and Axiom differ by a constant
14:251 Schaums and Axiom agree
14:252 Schaums and Axiom differ by a constant
14:253 Schaums and Axiom agree
14:254 Schaums and Axiom differ by a constant
14:255 Schaums and Axiom differ by a constant
14:256 Schaums and Axiom agree
14:257 Schaums and Axiom differ by a constant
14:258 Schaums and Axiom agree
14:259 Schaums and Axiom differ by a constant
14:260 Schaums and Axiom agree
14:261 Schaums and Axiom differ by a constant
14:262 Schaums and Axiom differ by a constant
14:263 Schaums and Axiom agree
14:264 Schaums and Axiom differ by a constant
14:265 Axiom cannot simplify these expressions
14:266 Axiom cannot simplify these expressions
14:267 Schaums and Axiom differ by a constant
14:268 Axiom cannot compute this integral
14:269 Schaums and Axiom differ by a constant
14:270 Schaums and Axiom differ by a constant
14:271 Axiom cannot compute this integral
14:272 Axiom cannot simplify these expressions
14:273 Schaums and Axiom differ by a constant
14:274 Schaums and Axiom agree
14:275 Axiom cannot compute this integral
14:276 Axiom cannot compute this integral
14:277 Schaums and Axiom differ by a constant
14:278 Schaums and Axiom differ by a constant
14:279 Axiom cannot compute this integral
14:280 Axiom cannot simplify these expressions
14:281 Axiom cannot simplify these expressions
14:282 Axiom cannot simplify these expressions
14:283 Axiom cannot simplify these expressions
14:284 Axiom cannot simplify these expressions
14:284 Axiom cannot simplify these expressions
14:285 Axiom cannot simplify these expressions
14:286 Axiom cannot simplify these expressions
14:287 Axiom cannot simplify these expressions
14:288 Axiom cannot simplify these expressions
14:289 Axiom cannot simplify these expressions
14:290 Axiom cannot simplify these expressions
14:291 Axiom cannot simplify these expressions
14:292 Axiom cannot simplify these expressions
14:293 Axiom cannot simplify these expressions
14:295 Axiom cannot compute this integral
14:296 Axiom cannot compute this integral
14:297 Axiom cannot compute this integral
14:298 Axiom cannot compute this integral
14:299 Schaums and Axiom agree
14:300 Schaums and Axiom agree
14:301 Schaums and Axiom agree
14:302 Schaums and Axiom agree
14:303 Schaums and Axiom agree
14:304 Schaums and Axiom agree
14:305 Schaums and Axiom agree
14:306 Schaums and Axiom agree
14:307 Schaums and Axiom agree
14:308 Schaums and Axiom agree
14:309 Axiom cannot compute this integral
14:310 Axiom cannot compute this integral
14:311 Schaums and Axiom differ by a constant
14:312 Schaums and Axiom agree
14:313 Schaums and Axiom differ by a constant
14:314 Schaums and Axiom agree
14:315 Schaums and Axiom agree
14:316 Schaums and Axiom differ by a constant
14:317 Schaums and Axiom agree
14:318 Schaums and Axiom agree
14:319 Schaums and Axiom agree
14:320 Schaums and Axiom agree
14:321 Schaums and Axiom agree
14:322 Schaums and Axiom agree
14:323 Schaums and Axiom agree
14:324 Schaums and Axiom agree
14:325 Axiom cannot simplify this expression
14:326 Schaums and Axiom agree
14:327 Axiom cannot compute this integral
14:328 Axiom cannot compute this integral
14:329 Schaums and Axiom differ by a constant
14:330 Schaums and Axiom agree
14:331 Schaums and Axiom agree
14:332 Axiom cannot compute this integral
14:333 Axiom cannot compute this integral
14:334 Axiom cannot simplify this expression
14:335 Axiom cannot compute this integral
14:336 Axiom cannot compute this integral
14:337 Axiom cannot compute this integral
14:338 Axiom cannot compute this integral
14:339 Schaums and Axiom agree
14:340 Schaums and Axiom agree
14:341 Schaums and Axiom agree
14:342 Schaums and Axiom agree
14:343 Schaums and Axiom agree by definition
14:344 Axiom cannot compute this integral
14:345 Schaums and Axiom agree
14:346 Axiom cannot compute this integral
14:347 Schaums and Axiom agreee
14:348 Schaums and Axiom differ by a constant
14:349 Schaums and Axiom agree
14:350 Schaums and Axiom agree
14:351 Schaums and Axiom agree
14:352 Schaums and Axiom agree
14:353 Axiom cannot simplify this expression
14:354 Schaums and Axiom differ by a constant
14:355 Axiom cannot simplify this expression
14:356 Axiom cannot simplify this expression
14:357 Axiom cannot simplify this expression
14:358 Axiom cannot simplify this expression
14:359 Axiom cannot simplify this expression
14:360 Axiom cannot simplify these equations
14:361 Schaums and Axiom differ by a constant
14:362 Axiom cannot simplify this expression
14:363 Axiom cannot simplify this expression
14:364 Axiom cannot compute this integral
14:365 Axiom cannot compute this integral
14:366 Axiom cannot compute this integral
14:367 Axiom cannot compute this integral
14:368 Axiom cannot compute this integral
14:369 Schaums and Axiom agree
14:370 Schaums and Axiom agree
14:371 Schaums and Axiom agree
14:372 Schaums and Axiom agree
14:373 Schaums and Axiom agree by definition
14:374 Axiom cannot compute this integral
14:375 Axiom cannot simplify these expressions
14:376 Axiom cannot compute this integral
14:377 Schaums and Axiom agree
14:378 Schaums and Axiom differ by a constant
14:379 Schaums and Axiom agree
14:380 Axiom cannot simplify this expression
14:381 Schaums and Axiom agree
14:382 Axiom cannot simplify this expression
14:383 Axiom cannot simplify this expression
14:384 Axiom cannot simplify this expression
14:385 Axiom cannot simplify this expression
14:386 Axiom cannot simplify this expression
14:387 Axiom cannot simplify this expression
14:388 Axiom cannot simplify this expression
14:389 Axiom cannot simplify this expression
14:390 Axiom cannot simplify these expressions
14:391 Schaums and Axiom agree
14:392 Axiom cannot simplify these expressions
14:393 Axiom cannot simplify these expressions
14:394 Axiom cannot compute this integral
14:395 Axiom cannot compute this integral
14:396 Axiom cannot compute this integral
14:397 Axiom cannot compute this integral
14:398 Axiom cannot compute this integral
14:399 Schaums and Axiom differ by a constant
14:400 Axiom is unable to simplify this expression
14:401 Schaums and Axiom agree
14:402 Schaums and Axiom agree
14:403 Schaums and Axiom agree
14:404 Schaums and Axiom differ by a constant
14:405 Schaums and Axiom differ by a constant
14:406 Schaums and Axiom differ by a constant
14:407 Schaums and Axiom agree
14:408 Schaums and Axiom differ by a constant
14:409 Schaums and Axiom agree
14:410 Schaums and Axiom differ by a constant
14:411 Schaums and Axiom differ by a constant
14:412 Axiom cannot simplify this expression
14:413 Schaums and Axiom agree
14:414 Schaums and Axiom agree
14:415 Schaums and Axiom differ by a constant
14:416 Schaums and Axiom agree
14:417 Schaums and Axiom agree
14:418 Schaums and Axiom agree
14:419 Axiom cannot simplify this expression
14:420 Axiom cannot simplify these expressions
14:421 Schaums and Axiom agree
14:422 Axiom cannot simplify this expression
14:423 Axiom cannot simplify this expressions
14:424 Schaums and Axiom differ by a constant
14:425 Axiom cannot compute this integral
14:426 Axiom cannot compute this integral
14:427 Axiom cannot compute this integral
14:428 Axiom cannot compute this integral
14:429 Schaums and Axiom agree
14:430 Schaums and Axiom agree
14:431 Schaums and Axiom agree
14:432 Schaums and Axiom agree
14:433 Schaums and Axiom differ by a constant
14:435 Axiom cannot compute this integral
14:436 Axiom cannot compute this integral
14:437 Schaums and Axiom agree
14:438 Schaums and Axiom agree
14:439 Axiom cannot compute this integral
14:440 Schaums and Axiom agree
14:441 Schaums and Axiom agree
14:442 Schaums and Axiom agree
14:443 Schaums and Axiom agree
14:444 Schaums and Axiom differ by a constant
14:445 Schaums and Axiom agree
14:446 Axiom cannot compute this integral
14:447 Axiom cannot compute this integral
14:448 Schaums and Axiom agree
14:449 Axiom cannot simplify this expression
14:450 Axiom cannot compute this integral
14:451 Schaums and Axiom differ by a constant
14:452 Schaums and Axiom agree
14:453 Schaums and Axiom differ by a constant
14:454 Axiom cannot simplify this expression
14:455 Schaums and Axiom agree
14:456 Axiom cannot compute this integral
14:457 Axiom cannot compute this integral
14:458 Schaums and Axiom differ by a constant
14:459 Schaums and Axiom agree
14:460 Axiom cannot compute this integral
14:461 Schaums and Axiom agree
14:462 Schaums and Axiom agree
14:463 Schaums and Axiom agree
14:464 Axiom cannot simplify this expression
14:465 Schaums and Axiom agree
14:466 Axiom cannot compute this integral
14:467 Axiom cannot compute this integral
14:468 Schaums and Axiom differ by a constant
14:469 Schaums and Axiom agree
14:470 Axiom cannot compute this integral
14:471 Axiom cannot simplify this expression
14:472 Axiom cannot simplify this expression
14:473 Axiom cannot simplify this expression
14:474 Axiom cannot compute this integral
14:475 Axiom cannot simplify this expression
14:476 Axiom cannot simplify this expression
14:477 Axiom cannot simplify this expression
14:478 Axiom cannot simplify this expression
14:479 Axiom cannot simplify this expression
14:480 Axiom cannot compute this integral
14:481 Axiom cannot simplify this expression
14:482 Axiom cannot simplify this expression
14:483 SCHAUMS AND AXIOM DIFFER? (BRANCH CUTS?)
14:484 Axiom cannot compute this integral
14:485 Axiom cannot simplify this expression
14:486 Axiom cannot compute this integral
14:487 SCHAUMS AND AXIOM DIFFER? (branch cuts?)
14:488 Axiom and Schaums agree
14:489 Axiom and Schaums agree
14:490 Axiom and Schaums agree
14:491 Axiom cannot compute this integral
14:492 Schaums and Axiom agree
14:493 Axiom cannot simplify these expressions
14:494 Axiom cannot simplify these expressions
14:495 Axiom cannot simplify these expressions
14:496 Axiom cannot compute this integral
14:497 Axiom cannot simplify these expressions
14:498 Axiom cannot simplify these expressions
14:499 Axiom cannot simplify these expressions
14:500 Axiom cannot simplify this expression
14:501 Axiom cannot compute this integral
14:502 Axiom cannot simplify this expression
14:503 Axiom cannot compute this integral
14:504 Axiom cannot compute this integral
14:505 SCHAUMS AND AXIOM DISAGREE? (branch cuts?)
14:506 Axiom cannot compute this integral
14:507 Axiom cannot compute this integral
14:508 Axiom cannot compute this integral
14:509 Schaums and Axiom agree
14:510 Schaums and Axiom agree
14:511 Schaums and Axiom agree
14:512 Axiom cannot compute this integral
14:513 Schaums and Axiom agree by definition
14:514 Axiom cannot compute this integral
14:515 Schaums and Axiom agree
14:516 Schaums and Axiom agree
14:517 Axiom cannot simplify these expressions
14:518 Schaums and Axiom agree
14:519 Schaums and Axiom agree
14:520 Schaums and Axiom agree
14:521 Schaums and Axiom agree
14:522 Schaums and Axiom agree by definition
14:523 Axiom cannot compute this integral
14:524 Axiom cannot compute this integral
14:525 Schaums and Axiom agree
14:526 Schaums and Axiom agree
14:527 Schaums and Axiom agree
14:528 Schaums and Axiom agree
14:529 Schaums and Axiom agree
14:530 Schaums and Axiom agree
14:531 Schaums and Axiom agree
14:532 Schaums and Axiom agree
14:533 Schaums and Axiom agree by definition
14:534 Axiom cannot compute this integral
14:535 Axiom cannot compute this integral
14:536 Axiom cannot compute this integral
14:537 Schaums and Axiom agree
14:538 Schaums and Axiom agree
14:539 Axiom cannot compute this integral
14:540 Schaums and Axiom agree
14:541 Schaums and Axiom agree
14:542 Schaums and Axiom agree
14:543 Axiom cannot compute this integral
14:544 Axiom cannot compute this integral
14:545 Axiom cannot simplify this expression
14:546 Axiom cannot compute this integral
14:547 Schaums and Axiom agree
14:548 Schaums and Axiom agree
14:549 Schaums and Axiom differ by a constant
14:550 Axiom cannot simplify this expression
14:551 Schaums and Axiom agree
14:552 Schaums and Axiom agree
14:553 Axiom cannot simplify this expression
14:554 Axiom cannot simplify this expression
14:555 Axiom cannot simplify this expression
14:556 Axiom cannot simplify this expression
14:557 Axiom cannot compute this integral
14:558 Axiom cannot compute this integral
14:559 Axiom cannot compute this integral
14:560 Axiom cannot compute this integral
14:561 Axiom cannot compute this integral
14:562 Schaums and Axiom agree
14:563 Schaums and Axiom agree
14:564 Schaums and Axiom agree
14:565 Axiom cannot compute this integral
14:566 Axiom cannot compute this integral
14:567 Schaums and Axiom agree
14:568 Axiom cannot compute this integral
14:569 Schaums and Axiom agree
14:570 Schaums and Axiom agree
14:571 Schaums and Axiom differ by a constant
14:572 Axiom cannot simplify this expression
14:573 Schaums and Axiom agree
14:574 Schaums and Axiom agree
14:575 Schaums and Axiom differ by a constant
14:576 Schaums and Axiom differ by a constant
14:577 Schaums and Axiom differ by a constant
14:578 Schaums and Axiom differ by a constant
14:579 Axiom cannot compute this integral
14:580 Axiom cannot simplify this expression
14:581 Axiom cannot simplify this expression
14:582 Axiom cannot simplify this expression
14:583 Axiom cannot simplify this expression
14:584 Axiom cannot simplify this expression
14:585 Axiom cannot compute this integral
14:586 Axiom cannot compute this integral
14:587 Axiom cannot compute this integral
14:588 Axiom cannot compute this integral
14:589 Axiom cannot compute this integral
14:590 Schaums and Axiom differ by a constant
14:591 Axiom cannot simplify this expression
14:592 Axiom cannot simplify this expression
14:593 Axiom cannot simplify this expression
14:594 Schaums and Axiom agree
14:595 Schaums and Axiom agree
14:596 Axiom cannot simplify this expression
14:597 Schaums and Axiom agree
14:598 Axiom cannot simplify this expression
14:599 Axiom cannot simplify this expression
14:600 Axiom cannot simplify this expression
14:601 Schaums and Axiom agree
14:602 Schaums and Axiom agree
14:603 Schaums and Axiom agree
14:604 Schaums and Axiom differ by a constant
14:605 Schaums and Axiom differ by a constant
14:606 Axiom cannot simplify this expression
14:607 Axiom cannot simplify this expression
14:608 Schaums and Axiom agree
14:609 Schaums and Axiom differ by a constant
14:610 Axiom cannot compute this integral
14:611 Schaums and Axiom differ by a constant
14:612 Axiom cannot compute this integral
14:613 Schaums and Axiom differ by a constant
14:614 Axiom cannot compute this integral
14:615 Schaums and Axiom differ by a constant
14:616 Schaums and Axiom differ by a constant
14:617 Axiom cannot simplify this expression
14:618 Schaums and Axiom agree
14:619 Schaums and Axiom agree
14:620 Schaums and Axiom differ by a constant
14:621 Axiom cannot compute this integral
14:622 Schaums and Axiom differ by a constant
14:623 Axiom cannot compute this integral
14:624 Schaums and Axiom differ by a constant
14:625 Axiom cannot compute this integral
14:626 Schaums and Axiom agree
14:627 Schaums and Axiom differ by a constant
14:628 Axiom cannot simplify this expression
14:629 Schaums and Axiom agree
14:630 Schaums and Axiom agree
14:631 Axiom cannot compute this integral
14:632 Schaums and Axiom differ by a constant
14:633 Axiom cannot compute this integral
14:634 Schaums and Axiom agree
14:635 Axiom cannot compute this integral
14:636 Schaums and Axiom agree
14:637 Axiom cannot simplify this expression
14:638 Axiom cannot simplify this expression
14:639 Schaums and Axiom agree
14:640 Schaums and Axiom agree
14:641 Axiom cannot compute this integral
14:642 Schaums and Axiom differ by a constant
14:643 Axiom cannot compute this integral
14:644 Schaums and Axiom differ by a constant
14:645 Axiom cannot compute this integral
14:646 Schaums and Axiom agree
14:647 Schaums and Axiom agree
14:648 Schaums and Axiom agree
14:649 Axiom cannot compute this integral
14:650 Schaums and Axiom differ by a constant
14:651 Schaums and Axiom agree
14:652 Schaums and Axiom agree
14:653 Schaums and Axiom agree
14:654 Axiom cannot compute this integral
14:655 Axiom cannot simplify these expressions
14:656 Schaums and Axiom differ by a constant
14:657 Schaums and Axiom agree
14:658 Schaums and Axiom differ by a constant
14:659 Axiom cannot compute this integral
14:660 Schaums and Axiom agree
14:661 Schaums and Axiom agree
14:662 Schaums and Axiom agree
14:663 Schaums and Axiom agree
14:664 Axiom cannot compute this integral
14:665 Schaums and Axiom agree
14:666 Schaums and Axiom agree
14:667 Schaums and Axiom differ by a constant
14:668 SCHAUMS AND AXIOM DIFFER (Axiom has closed form)
14:669 Axiom cannot simplify these expressions
14:670 Axiom cannot simplify these expressions
14:671 SCHAUMS AND AXIOM DIFFER (Axiom has closed form)
14:672 Axiom cannot compute this integral
14:673 Axiom cannot compute this integral
14:674 Axiom cannot compute this integral
14:675 Axiom cannot compute this integral
14:676 Axiom cannot compute this integral
14:677 Axiom cannot compute this integral