Assignment:
Partial Fraction Decomposition Examples
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) ∫(x2 + 3x +1 / x3 +6x2 +11x +6) dx = ?
Example 2) ∫(x + 5 / x2 -4x +4 dx) = ?
Provide complete and step by step solution for the question and show calculations and use formulas.