# How do you integrate #1/((1+x^2)^2)#?

Reqd. Integral

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To integrate ( \frac{1}{(1+x^2)^2} ), you can use the technique of partial fraction decomposition followed by a substitution. After partial fraction decomposition, you'll have terms of the form ( \frac{Ax + B}{1 + x^2} ) and ( \frac{Cx + D}{(1 + x^2)^2} ). Then, you can perform a substitution to integrate each term separately. The final integral will involve arctangent functions.

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