$\int x\cdot\sqrt{7-4x}dx$

$\:x^2-8x=24$

$\left(-12\right)\cdot3+\frac{18}{\left(-\frac{12}{6+8}\right)}$

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

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

$\lim_{x\to\infty}\left(\frac{1-n}{4lg\left(n^2-1\right)\left(1-\sqrt{n}\right)}\right)$

$\left(37u^3-15u-8u^2-20u^5\right)+\left(4u^2-5\right)$