$\lim_{x\to\infty}\left(\frac{5x^3+3}{3}\right)$

$\frac{\left(2\left(x-5\right)^{\frac{5}{2}}\cdot\left(3\right)-20\left(x-5\right)^{\frac{3}{2}}\cdot\left(5\right)+50\sqrt{x-5}\cdot\left(15\right)\right)}{15}$

$\int_{-1}^1e^{3x}dx$

$\left(1+\frac{2}{x}\right)^{\frac{1}{2}}$

$\frac{1}{cscx-cotx}+\frac{1}{cscx+cotx}=\frac{2}{sinx}$

$x^2-2\left(x+12\right)$

$\int10\sqrt{m^3}\:dm$