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Determine the exact value of $\int_0^{\frac{1}{2}} x e^{-2x}\,dx$.
Mathematics 9709 · AS & A Level · Integration
Determine the exact value of $\int_0^{\frac{1}{2}} x e^{-2x}\,dx$.
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 $ax e^{-2x} + b\int e^{-2x}\,dx$” …