(main)[6]
Determine the exact value of $\int_{0}^{\frac{1}{2}\pi} x^2 \sin 2x\, dx$.
Mathematics 9709 · AS & A Level · Integration
Determine the exact value of $\int_{0}^{\frac{1}{2}\pi} x^2 \sin 2x\, dx$.
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Begin integration by parts and obtain $Ax^2\cos2x-\int Bx\cos2x\,dx$” …