$\csc^2x-4\cot x-2$

$\int\left(x^2\sqrt{\left(2x^3+9\right)}\right)dx$

$\left(\frac{\frac{21}{17}+3}{4}\right)+\left(\frac{\frac{21}{17}+6}{3}\right)=\left(2\left(\frac{21}{17}\right)+1\right)$

$x^{\frac{a}{b}}=\left(x^a\right)^{\frac{1}{b}}$

$\int_0^{\pi}\left(8\sin^4\left(x\right)\right)dx$

$\int\frac{15\sqrt{t^3}}{\left(23+\sqrt{t^5}\right)^7}dt$

$\frac{x+3}{2}+\frac{1}{2x}=\frac{2}{3}$