$\int tan^7\left(4x\right)sec^2\left(4x\right)dx$

$\lim_{b\to a}\left(\frac{-e^{-\frac{w}{a}}+e^{-\frac{w}{b}}}{b-a}\right)$

$\int\left(3x+1\right)^3\:\:3dx$

$\int8x\:e^{-8x}dx$

$\frac{tga+tgb}{cotga}$

$\int_2^{\infty}\left(\frac{2}{2x-3}\right)dx$

$\int\left(3x^2-1\right)\left(x^3-x+4\right)dx$