$\frac{1}{2}\int2\sin\left(x\right)\cos\left(x\right)dx$

$\left(9a^6b^4+c^5\right)^3$

$\frac{x^2-5x+7}{x-2}$

$\int\left(x^3-2x\right)^3\left(3x^2-2\right)dx$

$2-1^{3}-3-1$

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

$\int sin\:x\:\left(1-cos^2\:x\right)\:cos^3\:xdx$