(a)[3]
Estimate $\int_0^1 \frac{1}{6 + 2e^x}\,dx$ by using the trapezium rule with two intervals, and state your answer correct to $2$ decimal places.
(b)[4]
Calculate $\int \frac{(e^x - 2)^2}{e^{2x}}\,dx$.
Mathematics 9709 · AS & A Level · Integration
Estimate $\int_0^1 \frac{1}{6 + 2e^x}\,dx$ by using the trapezium rule with two intervals, and state your answer correct to $2$ decimal places.
Calculate $\int \frac{(e^x - 2)^2}{e^{2x}}\,dx$.
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Give or show the correct ordinates $0.125$, $0.08743$, $0.21511\ldots$” …