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integrate(cos(x)**2 / (1-sin(x))) gives too complicated answer #4511

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sympy-issue-migrator opened this Issue May 9, 2009 · 3 comments

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sympy-issue-migrator commented May 9, 2009

In [1]: integrate(cos(x)**2 / (1-sin(x)))
Out [2]: fail :)

But should get x - cos(x) instead :)

Original issue for #4511: http://code.google.com/p/sympy/issues/detail?id=1412
Original author: https://code.google.com/u/111211129517653688844/
Original owner: https://code.google.com/u/111211129517653688844/

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sympy-issue-migrator commented May 9, 2009

Issue 1413 has been merged into this issue.

Original comment: http://code.google.com/p/sympy/issues/detail?id=1412#c1
Original author: https://code.google.com/u/111211129517653688844/

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sympy-issue-migrator commented May 10, 2009

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oldk1331 commented May 20, 2016

In sympy 1.0:

In [2]: a = integrate(cos(x)**2 / (1-sin(x)))

In [3]: a
Out[2]: 
      2⎛x⎞                             
 x⋅tan ⎜─⎟                             
       ⎝2⎠         x             2     
─────────── + ─────────── - ───────────
   2⎛x⎞          2⎛x⎞          2⎛x⎞    
tan ⎜─⎟ + 1   tan ⎜─⎟ + 1   tan ⎜─⎟ + 1
    ⎝2⎠           ⎝2⎠           ⎝2⎠    

In [4]: simplify(a)
Out[4]: x - cos(x) - 1

The result can be simplified, I think this issue can be closed.

skirpichev added a commit to skirpichev/diofant that referenced this issue Nov 9, 2018

Removed test_failing_integrals.py
Few tests were moved to test_integrals.py

Some remarks:
1) Timeout stuff removed - we can use pytest-timeout plugin.
2) tests test_sympyissue_3880, test_sympyissue_4525,
   test_sympyissue_4941 - are hangs.
3) test_sympyissue_4326 - solved issue, there is a test.
4) test_sympyissue_1638b - solved, there is a test with a correct value.
5) test_sympyissue_4895* - solved, a duplicate of sympy/sympy#3940.
   There is a test.
6) test_sympyissue_4992 - solved, there is a test.
7) test_sympyissue_4064 - actually issue sympy/sympy#7163, which is
   fixed, there is a test.

Closes sympy/sympy#4511

skirpichev added a commit to skirpichev/diofant that referenced this issue Nov 11, 2018

Removed test_failing_integrals.py
Few tests were moved to test_integrals.py

Some remarks:
1) Timeout stuff removed - we can use pytest-timeout plugin.
2) test_sympyissue_3880, test_sympyissue_4525,
   test_sympyissue_4941 - are hangs.
3) test_sympyissue_4326 - solved issue, there is a test.
4) test_sympyissue_1638b - solved, there is a test with a correct value.
5) test_sympyissue_4895* - solved, a duplicate of sympy/sympy#3940.
   There is a test.
6) test_sympyissue_4992 - solved, there is a test.
7) test_sympyissue_4064 - actually issue sympy/sympy#7163, which is
   fixed, there is a test.

Closes sympy/sympy#4511

skirpichev added a commit to skirpichev/diofant that referenced this issue Nov 12, 2018

Removed test_failing_integrals.py
Few tests were moved to test_integrals.py

Some remarks:
1) Timeout stuff removed - we can use pytest-timeout plugin.
2) test_sympyissue_3880, test_sympyissue_4525,
   test_sympyissue_4941 - are hangs.
3) test_sympyissue_4326 - solved issue, there is a test.
4) test_sympyissue_1638b - solved, there is a test with a correct value.
5) test_sympyissue_4895* - solved, a duplicate of sympy/sympy#3940.
   There is a test.
6) test_sympyissue_4992 - solved, there is a test.
7) test_sympyissue_4064 - actually issue sympy/sympy#7163, which is
   fixed, there is a test.

Closes sympy/sympy#4511
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