# Integrals : Average Value of a Function over an Interval

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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

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##### Solution Summary

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

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This is actually a question of integral:

∫x sin(x2)dx

= ∫0.5(dx2 ...

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