The diagram displays the curve $y = \sqrt{1 + x^3}$. Region A is enclosed by the curve together with the lines $x = 0$, $x = 2$ and $y = 0$. Region B is enclosed by the curve together with the lines $x = 0$ and $y = 3$.
(i)[3]
With two intervals, apply the trapezium rule to estimate the area of region A. Give your answer correct to 2 decimal places.
(ii)[2]
Find an approximation to the area of region B and explain why this approximation is an underestimate of the true area of region B.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Show or make clear the correct ordinates $1,\sqrt{2}$ or $1.414,3$” …