Integration by partial fractions will only work for proper fractions. For practical purposes this means that the degree of the numerator must be smaller than the degree of the denominator.

Usage

Start by factoring the denominator into a set of irreducible polynomial then factor the integrand using partial fraction decomposition and then using the linearity integral rule split each term up into a simple integral that can be solved using the logarithm's antiderivative.

Examples

Example 1 - Constant Numerator

Compute

Example 2 - Polynomial Numerator

Compute

Performing Gaussian elimination on this linear system we get the following solution