Try $it$ yourself!

Integrate the following.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dx}{x^2+x-2}$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x^2+x-2}{3x^3-x^2+3x-1}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{3x^2-10}{x^2-4x+4}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{3x^4+4x^3+16x^2+20x+9}{(x+2)(x^2+3{)}^2}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{2x+4}{x^3-2x^2}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{3x^4+3x^3-5x^2+x-1}{x^2+x-2}dx$