$\frac{\csc\left(a\right)}{\cot\left(a\right)}=\sec\left(a\right)$

$\left(\frac{x^3}{x-2}\right)^2$

$\left|\left(x^{-4}\right)^{\frac{1}{5}}\right|^{\frac{1}{6}}$

$\lim_{x\to1}\left(\frac{t^2-1}{sin\left(t-1\right)}\right)$

$\int_0^1\left(\frac{3x}{\left(x+2\right)\left(x-5\right)}\right)dx$

$\int\frac{\left(x+1\right)}{\left(-x^2+2x+8\right)^{\frac{3}{2}}}dx$

$x^4+9x^2+14$