$\int\left(e^{-5x}+e^x\right)dx$

$\left(3a^3+5ab^2-4a^2b\right)\cdot\left(-6ab^2-7b^3+5a^2b\right)$

$\int\frac{\sqrt{y^2-25}}{y^4}dx$

$\frac{\left(\cot\:^2\left(x\right)-1\right)}{\cot^2\left(x\right)}$

$\frac{\sqrt{x^2+4x-5}}{\left(x+2\right)}$

$-x^2-3x-2;\:x=-1$

$\lim_{x\to\infty}\left(\frac{\ln x}{x-1}\right)$