# From 1 to infinity!

Calculus Level 3

The definite integral of $$\frac{x^2}{(1+x^2)^2}$$ with respect to $$x$$ from 1 to infinity can be expressed as $$\frac{\pi}{a} + \frac{b}{c}$$ where $$b$$ and $$c$$ have no common factor other than 1. What is $$a+b+c?$$

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