# JEE Math practice: Indefinite Integral

Calculus Level 4

Let $$f$$ be a continuous function satisfying $$f(x+y)=f(x)+f(y)$$, for each $$x,y\in\mathbb{R}$$ and $$f(1)=2$$ then $\int\frac{f(x)\tan^{-1}x}{(1+x^2)^2}dx$ is equal to

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