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PAGE: 494SET: ExercisesPROBLEM: 65
Please look in your text book for this problem Statement

The function is on the interval .

Average value of the function on is defined as .

Here and .

Average value of is

Evaluate the integral using integration by parts.

Integration by parts : .

Consider .

Differentiate on each side.

.

Cosider .

Integrate on each side.

.

 

Substitute the corresponding values in .

Average value of is .

Average value of is .



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