Mimi_x3
Just for fun. :)
\[\int_{0}^{\pi/2}xcot(x)dx\]



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hartnn
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is the answer \(\pi^3\)/24 ???

hartnn
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square root of that

Mimi_x3
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Nope!!!

Mimi_x3
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It cannot be that easy!!

hba
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(1/2) pi ln(2)

hartnn
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oh, yes...
\(I=\int_{0}^{\pi/2}x\cot(x)dx \\I=\int_{0}^{\pi/2}(\pi/2x)\tan(x)dx\)
now multiply both equations to eliminate trignometric function

hba
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@Mimi_x3
Please respond.

hartnn
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hba, your answer is correct.

hartnn
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did u integrate by parts

Mimi_x3
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Soryy!! Faster than expected!!
I think @hba cheated :)

hartnn
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you think ? i know :P

hba
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I did not solve it guys.

hba
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Some one else solved it for me.

hba
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:P

Mimi_x3
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It was obv :P
impossible to solve it in a couple of seconds.

hartnn
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oh, the catch was to add, not multiply :P
hba, wolf.

hba
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Yes @hartnn Yes :P

hba
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@Callisto Why did you not comment ?

Callisto
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My comment...
@hartnn @Mimi_x3 ♥♥♥