$\int\:\:x^8\left(\sqrt{x+2}\right)dx$

$\int z^3e^zdx$

$5x^2+x+2=0$

$\frac{d}{dx}\left(\frac{1}{4}\ln\left(\sec\left(4x-5\right)\right)+\tan\left(4x-5\right)\right)$

$\frac{tan\left(x\right)+cot\left(x\right)}{tan\left(x\right)+cot\left(x\right)}$

$3x^2-5x^2+52x+12$

$\frac{\csc\left(x\right)\tan\left(x\right)}{\sec\left(x\right)}-\sin\left(x\right)\left(\csc\left(x\right)-\sin\left(x\right)\right)=\sin^2\left(x\right)$