Instructions for Partial Fraction Decomposition

1.

Factorize the denominator by finding the zeros.

2.

Intermediate calculation (see the box below):

a)

Set the expression equal to a sum of fractions and choose the constants $A,B,C,\dots$ in the numerator—one letter for each fraction.

b)

Multiply by the common denominator.

c)

Sort the different terms individually.

d)

Create a system of equations and solve for $A,B,C,\dots$

3.

Insert the result into the integral and integrate. Yay!