Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(a)[5]

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

(b)[3]

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

Worked solution & mark scheme

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