Evaluate the integral
$\int_0^{\infty}\left(\frac{1}{1+x^2}\right)dx$
$\int_{1}^{3}\cos\left(x\right)^2dx$
Find the integral
$\int\left(x+1\right)dx$
$\int_{-5}^{5}\frac{1}{\sqrt{5-x}}dx$
$\int_{2}^{4}\frac{1}{x^2-6x+5}dx$
$\int_{2}^{4}\left(x^2+5x+6\right)dx$
$\int\left(x+1\right)^2dx+1$
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