Just for fun. :) \[\int_{0}^{\pi/2}xcot(x)dx\]

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Just for fun. :) \[\int_{0}^{\pi/2}xcot(x)dx\]

Mathematics
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is the answer \(\pi^3\)/24 ???
square root of that
Nope!!!

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Other answers:

It cannot be that easy!!
  • hba
(1/2) pi ln(2)
oh, yes... \(I=\int_{0}^{\pi/2}x\cot(x)dx \\I=\int_{0}^{\pi/2}(\pi/2-x)\tan(x)dx\) now multiply both equations to eliminate trignometric function
  • hba
@Mimi_x3 Please respond.
hba, your answer is correct.
did u integrate by parts
Soryy!! Faster than expected!! I think @hba cheated :)
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you think ? i know :P
  • hba
I did not solve it guys.
  • hba
Some one else solved it for me.
  • hba
:P
It was obv :P impossible to solve it in a couple of seconds.
oh, the catch was to add, not multiply :P hba, wolf.
  • hba
Yes @hartnn Yes :P
  • hba
@Callisto Why did you not comment ?
My comment... @hartnn @Mimi_x3 ♥♥♥

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