A simple integration

Calculus Level 3

∫ 0 ∞ x ln ⁡ x ( 1 + x 2 ) 2 d x = ? \large \int_0^\infty \dfrac {x \ln x}{(1+x^2)^2} \, dx = \, ?

The integral above has a closed form. Find the value of this closed form.

Give your answer to 3 decimal places.


The answer is 0.0000.

Rishabh Deep Singh by Rishabh Deep Singh , 23, India

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1 solution

Prakhar Bindal
Jan 22, 2017

Substitute x = 1/t to get I = -I

Hence I = 0

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