$-\frac{sin\left(x\right)}{cos\left(x\right)-1}=cot\left(x\right)+csc\left(x\right)$

$\int_0^2\left(\sqrt{9^x}\right)dx$

$x^2+17x+42$

$-15x^2+20$

$\lim_{x\to2}\left(\frac{x-2}{x-\sqrt{3x-5}}\right)$

$x^2-31x+256$

$\lim_{x\to\infty}\left(\frac{ln\left(x+6\right)}{ln\left(x+5\right)}\right)$