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)231dx59 exam-style questions on Edexcel A Level Maths 11.5 Integration by Substitution. Each one has a worked solution and a mark scheme showing where the marks go.