$\int\left(\frac{e^{2t}}{\left(e^{2t}-\pi\right)}\right)dx$

$\left(2x-x^2\right)e^{\frac{1}{2}x}$

$\sin^2\left(x\right)\cos^2\left(x\right)+\sin^4\left(x\right)$

$\left(x^2yz^3\right)^4\left(xy^3z^5\right)^4$

$\left(12u^6\right)^1$

$\frac{5g^{-5}}{3g^{-3}}$

$\int\frac{5}{\left(x-3\right)^2}dx$