Page 2: Advanced Integration Techniques

This page focuses on more complex integration problems commonly found in AQA A Level Maths exam questions by topic. It demonstrates various techniques for handling complicated integrals.

Definition: Partial fractions is a method used to break down complex rational expressions into simpler terms for integration.

Example: For expressions like (2x+1)/(1-3x), using substitution u = 2x+1 simplifies the integration process.

Highlight: When dealing with products of sine and cosine with the same coefficient, double angle formulas should be employed.

Vocabulary: Reverse chain rule - a technique used when integrating expressions of the form kf'(x)/f(x)

The page extensively covers:

• Integration of products involving trigonometric functions
• Handling rational functions through partial fractions
• Complex substitution methods
• Algebraic division techniques before integration