Let and for . Find the value , with , for which the accumulated areas under the two…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

f(x)=x

and

g(x)=\sqrt{x}

for

0 \le x \le 4

. Find the value

c

, with

0 < c < 4

, for which the accumulated areas under the two graphs from

x = 0

x = c

are equal.