$\int_1^{\infty}\left(2x^2e^{-x^3}\right)dx$

$12x\frac{-2x+3}{4}$

$\frac{d}{dx}\left(3sin\left(x\right)+2cos\left(y\right)-5sin\left(x\right)cos\left(y\right)+x=5\pi\right)$

$4x^2+y^2+x+5y^2$

$c^2-12c+6$

$\int\left(\frac{2}{w}\right)^2dw$

$\frac{1}{\frac{1}{\sin\:\left(x\right)}-\frac{1}{\tan\left(x\right)}}$