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

$\int9x\left(4-x\right)dx$

$2x+\frac{2}{x}=0$

$\frac{\sec\left(x\right)+\cos\left(x\right)}{\sec\left(x\right)}=\cos^2x+1$

$\int\cos\left(5\right)\sin xdx$

$\frac{3}{n}x-2$

$\int\left(\left(\left(1-sin\left(\frac{x}{2}\right)^2\right)\right)cos\left(\frac{x}{2}\right)\right)dx$