$\frac{\frac{1}{5}^{-1}+\frac{1}{3}^{-1}}{\frac{1}{5}^{-1}-\frac{1}{3}^{-1}}$

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

$\frac{x^4-y^{10}}{3x^2+3y^5}$

$\int\left(9e^{11-3x}\right)dx$

$\int\frac{16}{x^3\sqrt{x^2-16}}dx$

$\int\ln\left(x^x\right)xdx$

$\left(\frac{1}{\tan\left(x\right)}+1\right)^2$