CAIE A Level Mathematics 9709 · Integration (AS)

Integration (AS): calculation question

4 marksStandard

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 $x$ -axis.

(a)
Find the area of the region enclosed by the curve $y = (x - 1)(7 - x)$ and the $x$ -axis.
[4]

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