\(\displaystyle \int_1^\infty 4x^{-4}\,dx\)

\(\dfrac{4}{3}\)

\(\displaystyle \int_1^\infty 2x^{-1 / 5}\,dx\)

No solution.

\(\displaystyle \int_{-\infty}^\infty \dfrac{4}{36 + x^2}\,dx\)

\(\dfrac{2\pi}{3}\)

\(\displaystyle \int_0^{e^2} \ln x^3\,dx\)

\(3e^2\)

\(\displaystyle \int_3^{9} \dfrac{1}{\sqrt{x^2 - 9}}\,dx\)

\(\ln(3 + 2\sqrt{2})\)