$1+sin^2x=cos^2x$

$\frac{2x^5+55x^2}{x+3}$

$sin\left(x+2\pi\right)sin\left(2\pi\right)-cos\left(x+2\pi\right)cos\left(2\pi\right)$

$-10+5\cdot3$

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

$\int\frac{2x+3}{\sqrt{x}\left(1+\sqrt[3]{x}\right)}dx$

$\left(6x^2+11x\right)x\left(6x^2+11x\right)$