For , the function is defined on . If the average value of over this interval equals…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

For

a>0

, the function

r(x)=e^{ax}+a

is defined on

[0,1]

. If the average value of

r

over this interval equals

5

, solve for

a

correct to three decimal places.