8D - volume of revolution
Objective: to visualize how the area bounded by a curve can be rotated around/about either the x or y axis and evaluate it's volume using integration.
7G- Using partial fractions with integration
objectives: you need to be familiar with the partial fractions techniques. There are 4 cases to consider: when the denominator consists of single factors (x+a)(x+b) 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 when the denominator consists of a factor (x+a) and an irreducible quadratic expression. 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
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