Let and for . For which of the following values of does , where…

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Let

f(x)=6-x

and

g(x)=x

for

0\le x\le6

. For which of the following values of

c

does

\displaystyle \int_{0}^{c} f(x)\,dx = \int_{0}^{c} g(x)\,dx

, where

0<c\le6

? (a)

3

(b)

\displaystyle\frac{\sqrt{297}-3}{4}

(c)

4

(d)

6

Related theory

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