Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(a)[5]

Find the exact value of $\int_{0}^{\frac{1}{2}\pi} \left(4\sin 2x + 2\cos^2 x\right) \, dx$. Show all working needed.

(b)[3]

Use the trapezium rule with two intervals to estimate $\int_{2}^{8} \sqrt{\ln(1 + x)} \, dx$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use the identity $2\cos^2 x=1+\cos 2x$” …