Mathematics 9709 · AS & A Level · Integration

Integration — practice question

(a)[3]

Calculate the value of $\int_0^{\frac{2\pi}{3}} \sin\left(\frac{1}{2}x\right)\,dx$.

(b)[3]

Calculate $\int e^{-x}(1 + e^x)\,dx$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Obtain antiderivative in the form $k\cos\tfrac{1}{2}x$” …

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