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Determine the exact value of $\int_{0}^{1} (2 - x)e^{-2x}\,dx$.
Mathematics 9709 · AS & A Level · Integration
Determine the exact value of $\int_{0}^{1} (2 - x)e^{-2x}\,dx$.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Start the integration and reach $a(2-x)e^{-2x}+b\int e^{-2x}\,dx$, or an equivalent form” …