Use the substitution u=9−x2u = 9 - x^2u=9−x2 to find ∫02x9−x2dx\displaystyle \int_0^2 \frac{x}{9 - x^2} dx∫029−x2xdx
363 exam-style questions on CCEA A Level Maths 3.6 Integration (A-level only), covering 3.6.1 Integration (A-level only), 3.6.2 Integration (A-level only), 3.6.3 Integration (A-level only), 3.6.4 Integration (A-level only), 3.6.5 Integration (A-level only), 3.6.6 Integration (A-level only), and 3.6.7 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.