$2\left(1+\cos\left(x\right)\right)-\left(1+\cos\left(x\right)\right)^2=\sin\left(x\right)^2$

$\int8x^7\left(x^8-11\right)dx$

$\int5\frac{ln\left(x+1\right)}{\sqrt{x+1}}dx$

$\lim_{x\to0}\left(x-2\right)$

$\frac{x^4-64}{x-4}$

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

$sen\left(x\right)\frac{dy}{dx}+2ycos\left(x\right)=\:4xsen\left(x\right)$