$\int\left(sin^5x+2sin^2x+sinx\right)cosdx$

$w^2+16w=-47$

$\frac{dy}{dx}=2xy^2+50x$

$\int\left(\frac{\cos\left(x\right)}{u^7}\right)dx$

$\left(1+kx\right)\left(64-192x+240x^2\right)$

$\sin\left(7x\right)\cos\left(5x\right)-\cos\left(7x\right)\sin\left(5x\right)=\cos\left(x\right)$

$1-2\sin^2\left(17\right)$