$\frac{20.784609690826528}{3}$

$\int\left(\frac{x^{5\:}}{\:\left(1-x^2\right)^2}\right)dx$

$-8\left(-6x-4\right)$

$\int\left(x+20\right)\left(x+1\right)^{20}dx$

$\lim_{x\to0}\frac{\tan^2\left(4x\right)}{1-\cos\left(5x\right)}$

$\int sec^2\left(4x+3\right)dx$

$\lim_{x\to\infty}\left(\frac{x^3}{7e^{\frac{x}{4}}}\right)$