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Find the average value of the function on the giv…

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Problem 5 Easy Difficulty

Find the average value of the function on the given interval.

$ f(t) = e^{\sin t} \cos t $ , $ [0, \frac{\pi}{2}] $

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Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 5

Average Value of a Function

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Video Transcript

the average value formula is one over B, which is power to minus a which is zero through zero. Power to and in our function e to the sign t course Auntie D G, which we can write out. Simplified is too over pi you to the sign two from zero to pi over too, which gives us to e months two divided by pi. So just remember one over B minus a and then the function from A to B.

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