# Integrals : Average Value of a Function over an Interval

13. What is the average value of the function f(x) = x sin(x2) over the interval [2,4]?

A. sin 4 + 2 sin 16 B. -sin 4 + 2 sin 16 C. (cos 4 - cos 16)/2

D. (cos 4 - cos 16)/4 E. (-cos 4 + cos 16)/4

https://brainmass.com/math/integrals/integrals-average-value-function-over-interval-33164

#### Solution Preview

This is actually a question of integral:

∫x sin(x2)dx

= ∫0.5(dx2 ...

#### Solution Summary

The average value of a function over an Interval is found.

$2.19