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Show that $\int_0^1 (1 - x)e^{-\frac{1}{2}x} \, dx$ is equal to $4e^{-\frac{1}{2}} - 2$.
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: “Use integration by parts and arrive at $k(1-x)e^{-x/2}+k\int e^{-x/2}\,dx$, or an equivalent form” …
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