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

$\int x^{\frac{4}{3}}\left(x^{\frac{5}{3}}-7x^{\frac{2}{9}x^{\frac{3}{5}}}\right)dx$

$\int\frac{x^2-2}{x^2-x-2}dx$

$x^2-6x+60$

$\int\frac{\left(x^2-2\right)}{\left(x^2+6x+11\right)^2}dx$

$\frac{dy}{dx}\left(x^2+y^2=6x+8y\right)$

$\left(e^y+1\right)^2e$