Use the substitution x=sinux = \sin ux=sinu to find ∫00.511−x2dx\displaystyle \int_0^{0.5} \frac{1}{\sqrt{1-x^2}} dx∫00.51−x21dx
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.