CAIE A Level Mathematics 9709 · Integration (AS)

Integration (AS): calculation question

4 marksStandard

A curve has equation $y = x^2 + 2$ .

(a)
Find the area of the region bounded by the curve, the $x$ -axis, and the lines $x = 2$ and $x = 5$ .
[4]

Work it out, then check it

Your working is checked step by step against the answer key, with method marks, units and carried-forward errors handled the way a mark scheme handles them.

Answer this and get it marked, free

Free account, no card. Three marked written answers a day on the free plan.

How this question is marked

4 marks. Method marks are awarded for correct working even if the final answer is wrong, and a later part can still score if it correctly uses an earlier wrong answer.

More Integration (AS) questions

3 marks · Evaluate the definite integral ∫1^4 (c x + d) dx.
4 marks · Consider the definite integral ∫ 1 ^ 3 (3x + 3)^ 3 \,dx.
4 marks · A curve has gradient function (dy)/(dx) = 2x + 1. Given that the curve passes through the point (1, 15), find the value of the constant of…
4 marks · The curve y = (x - 1)(7 - x) intersects the x-axis at x = 1 and x = 7. Find the exact area of the region enclosed by the curve and the…
3 marks · Evaluate the definite integral ∫1^2 ( 9x^2 + 1 ) dx.
4 marks · The gradient of a curve is given by (dy)/(dx) = 2x + 4 . The curve passes through the point (3, 11) . Find the constant of integration, C .

All Integration (AS) questions

Written by Markquill to follow the Cambridge International syllabus. Markquill is independent and is not affiliated with or endorsed by Cambridge International.