$-2sin2xcos^2x+sin2x+sin2xcos2x$

$\lim_{x\to0}\left(\frac{1-\cos\left(2x\right)}{sin\left(2x\right)}\right)+cos\left(4x\right)$

$2\sqrt{x}+3=9$

$\int\left(1+\frac{1}{x}\right)\cot\left(x+\ln\left(x\right)\right)dx$

$2.36-0.091$

$\int_{-1}^3\left(\frac{\left(6y\right)}{y^2-2y-8}\right)dy$

$\sqrt{x}inx$