Homeworks:

Compute ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{-6}{x^3+x^2-2x}dx$ using partial fraction decomposition.

Determine if the integral converges or diverges and compute if it converges:

${\displaystyle \underset{1}{\overset{}{}}}x{e}^{-3x}dx$

${\displaystyle \underset{0}{\overset{1}{}}}\frac{x}{x^2-1}dx$