7G- Using partial fractions with integration

objectives: you need to be familiar with the partial fractions techniques. There are 4 cases to consider:

1. when the denominator consists of single factors (x+a)(x+b)
2. when the denominator consists of a single factor (x+a) and a repeated factor, usually a perfect square (x+b)^2. This gives you three partial fractions
3. when the denominator consists of a factor (x+a) and an irreducible quadratic expression.
4. When you have P(x)/Q(x); division of two polynomials. It is wise to apply long division (click here to revise on long division) AND THEN apply partial fractions to simplify them. 

Question 2b) three partial fractions