#### Krushnaraj Pandya

Gold Member

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**1. The problem statement, all variables and given/known data**

The value of ## \lim_{t \to \infty} \frac {\int_0^t (\arctan x) ^2}{\sqrt {t^2+1}}##

**3. The attempt at a solution**

I tried to use ## \int_b^a f(x) = \int_b^a f(a+b-x)## It didn't work out, and I can't see any other way to move ahead. I'd be grateful for your help