Integration by Partial Fractions: This technique involves an unusual decomposition of rational expressions: instead of factoring them you write them as sums of simpler terms.
$\int \frac{3}{x^2-1} \hbox{d} x =$ .
$\int \frac{x-11}{x^2+3x-4} \hbox{d} x =$ .
$\int \frac{1}{x^4-16} \hbox{d} x =$.