Mimi_x3
  • Mimi_x3
Just for fun. :) \[\int_{0}^{\pi/2}xcot(x)dx\]
Mathematics
jamiebookeater
  • jamiebookeater
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hartnn
  • hartnn
is the answer \(\pi^3\)/24 ???
hartnn
  • hartnn
square root of that
Mimi_x3
  • Mimi_x3
Nope!!!

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Mimi_x3
  • Mimi_x3
It cannot be that easy!!
hba
  • hba
(1/2) pi ln(2)
hartnn
  • hartnn
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
  • hba
@Mimi_x3 Please respond.
hartnn
  • hartnn
hba, your answer is correct.
hartnn
  • hartnn
did u integrate by parts
Mimi_x3
  • Mimi_x3
Soryy!! Faster than expected!! I think @hba cheated :)
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hartnn
  • hartnn
you think ? i know :P
hba
  • hba
I did not solve it guys.
hba
  • hba
Some one else solved it for me.
hba
  • hba
:P
Mimi_x3
  • Mimi_x3
It was obv :P impossible to solve it in a couple of seconds.
hartnn
  • hartnn
oh, the catch was to add, not multiply :P hba, wolf.
hba
  • hba
Yes @hartnn Yes :P
hba
  • hba
@Callisto Why did you not comment ?
Callisto
  • Callisto
My comment... @hartnn @Mimi_x3 ♥♥♥

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