Use the substitution x=3sinθx = 3 \sin \thetax=3sinθ to find the exact value of
∫323221(9−x2)32 dx\int_{\frac{3}{2}}^{\frac{3\sqrt{2}}{2}} \frac{1}{(9 - x^2)^{\frac{3}{2}}} \, dx∫23232(9−x2)231dx
Practise Edexcel A Level Maths 11.5 Integration by Substitution with exam-style questions for A Level Maths. 59 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.