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Show that $\displaystyle \int_0^1 (e^x + 1)^2\,dx$ equals $\frac{1}{2}e^2 + 2e - \frac{3}{2}$.
Mathematics 9709 · AS & A Level · Integration
Show that $\displaystyle \int_0^1 (e^x + 1)^2\,dx$ equals $\frac{1}{2}e^2 + 2e - \frac{3}{2}$.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out the integration and produce the $\frac12 e^{2x}$ term” …