$\int\frac{5x^4+40x^2+75}{x\left(x^2+5\right)^2}dx$

$\int_0^{\infty}y\cdot e^{-y\left(x+1\right)}dx$

$2\frac{1}{3}-6x+4\frac{1}{3}-3x$

$\int\frac{\left(3x+8\right)}{9x^2-3x-1}dx$

$\lim_{x\to\infty}\left(e^x+x\right)^{\frac{8}{x}}$

$log\:3.5-4\:log\:10$

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