Mathematics 9709 · AS & A Level · Numerical solution of equations

Numerical solution of equations — practice question

(i)[3]

With 3 intervals, apply the trapezium rule to estimate the value of $\int_{\pi}^{\frac{3\pi}{2}} \cosec x\,dx$, and state your answer correct to 2 decimal places.

(ii)[2]

From a sketch of $y = \cosec x$, explain whether the trapezium rule gives an overestimate or an underestimate of the actual value of the integral in part (i).

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Give, or make clear, ordinates $2,\ 1.1547,\ldots,\ 1,\ 1.1547$

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