$\int3\cos^4x\:\sin x\:dx$

$\int3\left(x-3\right)^{\frac{5}{2}}dx$

$\left(3s\right)\left(-4s\right)\left(5t\right)$

$\frac{\left(x^{15}+1\right)}{\left(x-1\right)}$

$\frac{\frac{x-y}{1}}{\frac{\left(x+y\right)\left(x-y\right)}{xy}}$

$\frac{32x^2-2}{4x+1}$

$\int\left(1-t\right)e^{4t-2t^2}dt$