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PAGE: 391SET: ExercisesPROBLEM: 4
Please look in your text book for this problem Statement

The function is   and the inerval is .

Average value of the function  on  is defined as .

Here .

Average value of  is  .

Consider .

Differentiate on each side with respect to .

.

Change of integral limits:

Lower limit: If  then .

Upper limit: If  then .

Substitute ,  and change of integral limits in .

 

 

.

Average value of the function  on  is .

Average value of the function  on  is .



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