Explains the partial fraction expansion procedure when the denominator has repeated linear roots, and applies this technique to a simple example. Then applies this expansion to conduct the integration. Uses substitution in the resulting integrals.

Discusses reciprocal trigonometric identities and investigates numerous examples, some of which involve reading the differentiation tables.

Uses the expansion from Part 1 to conduct the integration. Uses substitution in the resulting integrals.

Explains the partial fraction expansion procedure when the denominator has a mixture of linear roots and repeated linear roots, and applies this technique to a simple example.

Explains the partial fraction expansion procedure when the denominator has a mixture of linear roots and repeated linear roots, and applies this technique to a simple example.

Uses the expansion from Part 1 to conduct the integration. Uses substitution in the resulting integrals.

General form of a quadratic inequality outlined,some examples of where quadratic inequalities arise in real life mentioned. Worked example of forming and solving a quadratic inequality in order to determine the range of prices of flashlights for a company to make profit/loss. Solutions checked.

Introduction to Linear Inequalities. Definitions. Simple Examples.

Firstly double checks the expansion from Part 1. Then shows the use of partial fractions to conduct the integration. Uses substitution in the resulting integrals.

Explains the partial fraction expansion procedure when the denominator has linear roots, and applies this technique to a simple example.