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

$ f(x) = 3x^2 +8x $ , $ [-1, 2] $

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$f_{a v g}=7$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 5

Average Value of a Function

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Lectures

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Find the average value of …

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we're gonna be using the average well, you formula, which is one over B minus ace in this context to minus negative one. The integral from negative wanted to lower the upper bounds. Then our function, and then obviously D of X is we're taking the integral the simplifies to 1/3 times x cubed plus four x squared from tooting negative Juan, which is 1/3 times eight for 16 minus 1/3 times negative one plus four, which gives us seven was our solution.

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