$\int\cos\left(x\right)\left(2+\sin\left(x\right)\right)^5dx$

$-7+3\left(-4d-3\right)$

$\int\frac{lnx}{\sqrt[2]{x}}dx$

$-9-10-16$

$\sin\left(x\right)\sin\left(2x\right)+2\cos^3\left(x\right)=2\cos\left(x\right)$

$\frac{dy}{dx}=\frac{\cos\left(x-y\right)}{2}$

$x^8\cdot\frac{x^8}{x^2}$