$\int xcosh\left(ax\right)dx$

$\left(x^3-\:2x^2\right)^2-x^6+4x^5-4x^4$

$\left(x^3+7\right)\left(5x-1\right)$

$\frac{cot\left(x\right)\cdot cot\left(2x\right)}{csc\left(x\right)+cot\left(x\right)}$

$\int\left(x^2+1\right)\left(2x\right)\:dx$

$x^2y'+2xy=x^{-1}$

$1\:-\left(2sin\theta\:\right)^2$