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# Find the average value of the function on the given interval.$f(t) = e^{\sin t} \cos t$ , $[0, \frac{\pi}{2}]$

## $\frac{2}{\pi}(e-1)$

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Applications of Integration

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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.

#### Topics

Applications of Integration

Lectures

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