$\left(x+\frac{2}{3}\right)^2x\left(x+\frac{2}{3}\right)^2$

$\frac{dy}{dx}=e^y$

$\int\left(x+y\right)^2\cdot\sin\left(x-y\right)^2dx$

$\frac{1}{3x+1}+\frac{1}{2x+2}+\frac{1}{x^2-1}$

$\frac{sin\left(x\right)-tan\left(x\right)}{-2tan\left(x\right)}=\sin^2\left(x\right)$

$\int3tan^5\left(x\right)dx$

$-5+4\left(3-\left(2-5\right)\right)$