$5\frac{1}{3}n^2^{+x}-7\frac{1}{2}m^3^{+2x}$

$\lim_{x\to\infty}\left(\frac{xln\left(x\right)^2}{\left(x+1\right)ln\left(x+1\right)^2}\right)$

$6\sqrt[3]{x^2}+4\csc^2\left(x\right)$

$\frac{-5x+4x^3+3}{x-2}$

$\int\left(\frac{6}{\left(\sqrt{t^2-6t+13}\right)}\right)dt$

$\frac{d^2}{dx^2}\left(e^{\left(x^2arctany^2\right)}\right)$

$\int_0^{\infty}\frac{59\cos\left(x\right)}{-20\left(x\right)}dx$