Problem with integral



Paul Smith wrote:
> On 10/28/07, Doug Stewart <dastew at sympatico.ca> wrote:
>   
>> It works in 5.11.0
>>                                             3
>>                                        cos (x)
>> (%i1)               integrate(-------, x, 1, 2)
>>                                             4
>>                                         sin (x)
>>
>>
>>                           1             1             1           1
>> (%o1)             ------ - --------- - ------ + ---------
>>                         sin(2)           3         sin(1)           3
>>                                     3 sin (2)                   3 sin (1)
>>
>> Doug
>>
>>
>> Mario Rodriguez wrote:
>>     
>>> This is what I get with current cvs maxima:
>>>
>>>
>>>
>>> (%i12) integrate(cos(x)^3/sin(x)^4,x);
>>> (%o12) (3*sin(x)^2-1)/(3*sin(x)^3)           ====> ok
>>> (%i13) integrate(cos(x)^3/sin(x)^4,x,1,2);
>>> Integral is divergent
>>>  -- an error.  To debug this try debugmode(true);
>>>
>>>
>>> I'm sure maxima could calculate the definite integral above in the past.
>>> This output is from a document I wrote about one year ago:
>>>
>>> (%i28) integrate(cos(x)^3/sin(x)^4,x,1,2);
>>>                 1          1         1          1
>>> (%o28)        ------ - --------- - ------ + ---------
>>>               sin(2)        3      sin(1)        3
>>>                        3 sin (2)            3 sin (1)
>>>
>>>       
>
> But not in 5.13.0:
>
> (%i1) integrate(cos(x)^3/sin(x)^4,x,1,2);
>
> Integral is divergent
>  -- an error.  To debug this try debugmode(true);
> (%i2)
>
> Paul
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> Maxima at math.utexas.edu
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>
>   
It works in 5.12.0:

(%i3) integrate(cos(x)^3/sin(x)^4,x);
Evaluation took 0.002 seconds (0.001 elapsed) using 28.000 KB.
                                      2
                                 3 sin (x) - 1
(%o3)                            -------------
                                        3
                                   3 sin (x)
(%i4) integrate(cos(x)^3/sin(x)^4,x,1,2);
Evaluation took 0.02 seconds (0.02 elapsed) using 343.805 KB.
                      1          1         1          1
(%o4)               ------ - --------- - ------ + ---------
                    sin(2)        3      sin(1)        3
                             3 sin (2)            3 sin (1)
(%i5)