$\int\left(5x+1\right)e^xdx$

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

$3x^9\cdot\:5$

$\int4x^5\left(2x^6+11\right)^{-3}dx$

$\frac{d}{dx}\left(x\sin\left(xy\right)+2y^{\frac{2}{3}}=xln\left(xy\right)\right)$

$3k^2x^2+9k^3x$

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