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## Homework Statement

Determine if the function is even/odd/neither

**without**solving the integral

## Homework Equations

[tex] f(x)=\arctan (x)-2\int_0 ^x{\frac{1}{(1+t^2)^2}}[/tex]

## The Attempt at a Solution

I tried to do f(-x)-f(x). I know that if f is odd, I should get -2f(x) and if even, 0. I got that f is odd(-2f(x)), but I don't know if this is a correct answer, since wolfram alpha says that this is not an odd function. I didn't assume anything on the function while checking this. I am a bit confused.

Is there any way to check things like that?

Thank you,

Thomas