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mistake in a indefinite integral

Hi,

I'm trying to compute the integral:

integral(log(cot(x)-1),x,0,pi/4)

Sage (with version 5.4 and previous ones) tell that the integral is . But the integral converges, and it is is equal to πlog(2)8.

I think this can be a bug. Maybe it is a Maxima issue, but it should be interesting to find where the bug is, and correct it, if possible.

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updated 5 years ago

FrédéricC gravatar image

mistake in a indefinite integral

Hi,

I'm trying to compute the integral:

integral(log(cot(x)-1),x,0,pi/4)

Sage (with version 5.4 and previous ones) tell that the integral is . But the integral converges, and it is is equal to πlog(2)8.

I think this can be a bug. Maybe it is a Maxima issue, but it should be interesting to find where the bug is, and correct it, if possible.