$\int\:\:cot\left(10x\right)csc\left(10x\right)dx$

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

$-5-\left(4-6\right)$

$\int_0^{\infty}\left(\frac{45}{1+x^2}\right)dx$

$\int\left(8x\left(4x^2+5\right)^2\right)dx$

$30a^2bx-4ab^2y$

$\left(2+3t\:\right)^3$