On the interval two functions are given: and

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

On the interval

[0,1]

two functions are given:

r(x)=e^{2x}

and

s(x)=2x+3

. (a) Compute the average value of

r

[0,1]

. (b) Compute the average value of

s

[0,1]

. (c) Determine by how much the average value of

r

exceeds (or falls short of) the average value of

s