Please see the attached file for the fully formatted problems.
Partial fraction decomposition is a technique used to convert a fraction with a polynomial numerator and a polynomial denominator into the sum of two or more simpler fractions. It eases integration by reducing it to the sum of integrals, each of which will most likely give an answer of the form ln(x+a). And Electrical Engineers doing control problems will use this technique when dealing with transfer functions.
Example 1) S (x2 + 3x + 1)/(x3 +6x2 + 11x + 6) dx = ?
Example 2) S (x + 5)/(x2 -4x + 4) dx = ?
Indefinite integrals are solved using partial fraction decomposition.