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Apply the trapezium rule using three intervals to estimate $\int_{0}^{2\pi} \ln(1 + \sin x)\,dx$, and present the answer correct to 2 decimal places.
Mathematics 9709 · AS & A Level · Numerical solution of equations
Apply the trapezium rule using three intervals to estimate $\int_{0}^{2\pi} \ln(1 + \sin x)\,dx$, and present the answer correct to 2 decimal places.
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Indicate or show ordinates $0$, $0.405465\ldots$, $0.623810\ldots$, $0.693147\ldots$” …