(a)[2]
Find the value of $\int 4\cos\left(\frac{1}{3}x + 2\right)\,dx$.
(b)[3]
With three intervals, use the trapezium rule to estimate $\int_0^{12} \sqrt{4 + x^2}\,dx$, and give the answer correct to $3$ significant figures.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integrate so that your answer takes the form $k\sin(\tfrac13 x+2)$, with $k\ne4$” …
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