Exercise
$\frac{8\:+\cos^2\left(x\right)}{3-\sin\left(x\right)}$
Derivative of this function
$\frac{d}{dx}\left(\frac{8+\cos\left(x\right)^2}{3-\sin\left(x\right)}\right)=\frac{-2\cos\left(x\right)\sin\left(x\right)\left(3-\sin\left(x\right)\right)+\left(8+\cos\left(x\right)^2\right)\cos\left(x\right)}{\left(3-\sin\left(x\right)\right)^2}$
See step-by-step solution
Integral of this function
$\int\frac{8+\cos\left(x\right)^2}{3-\sin\left(x\right)}dx=\frac{x\left(8+\cos\left(x\right)^2\right)}{3-\sin\left(x\right)}+C_0$
See step-by-step solution