$\int\left(3x-5\right)^6dx$

$dy=3x^2\left(1+y^2\right)dx$

$3\left(x^2-1\right)-2\left(x^2+2x\right)=5$

$\int\left(x^4+6\right)dx$

$\frac{dy}{dx}=\frac{1}{4}\left(x\left(1-x\right)\right)$

$cos\left(x\right)\cdot tan\:\left(x\right)=cot$

$\frac{dy}{dx}\cos\left(5x-2\right)$