$\frac{dy}{dt}sin\left(t\right)cos\left(t\right)=y+sin^3t$

$1+3\cdot0$

$cot^2\left(x\right)+sec^2\left(x\right)=csc^2\left(x\right)$

$8u-10u+8u$

$\int\left(\frac{x^2+9x+13}{x\left(x^2+6x+13\right)}\right)dx$

$\int cos^9x\sin^5xdx$

$\left(-3r^{4}\right)^{4}\cdot\left(r^{5}\right)^{2}$