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
119 exam-style questions on AQA A Level Maths 1.11.5 Integration by substitution and by parts (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.