Let and for . Determine the exact area of the region enclosed by the graphs of and on…

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

Problem

Let

f(x)=x^{2}

and

g(x)=3x

for

0\le x\le3

. Determine the exact area of the region enclosed by the graphs of

f

and

g

on this interval. (a)

\dfrac{27}{2}

(b)

\dfrac{9}{2}

(c)

18

(d)

9