(a)[2]
Determine $\int 4 \cos \left( \frac{1}{3}x + 2 \right) \, dx$.
(b)[3]
Apply the trapezium rule with three intervals to approximate $\int_{0}^{12} \sqrt{4 + x^2} \, dx$, 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: “Carry out the integration to get a result of the form $k\sin(\tfrac{1}{3}x+2)$, where $k\ne4$” …
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