$\int_2^{\infty}\left(\frac{1}{x^2+6x+5}\right)dx$
$\int_0^{\infty}\left(\frac{1}{\sqrt{x}+x^2}\right)dx$
$\int_0^{\infty}\left(\frac{x}{1+x^3}\right)dx$
$\int_0^{\infty}\left(\frac{x}{x^3+1}\right)dx$
$\int_0^1\left(\frac{x}{1-x^2}\right)dx$
$\int_0^1\frac{dx}{\left(x+1\right)\left(x^2+1\right)}$
Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b
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