How do you find the average value of f ( x ) = &#x2212;<!-- − --> x <mrow cl

nileteenice

nileteenice

Answered question

2022-05-21

How do you find the average value of f ( x ) = x 3 + 7 x 2 11 x + 3 as x varies between [1,5]?

Answer & Explanation

Boatein

Boatein

Beginner2022-05-22Added 10 answers

Average
= f ( x ) d x 5 1 , between x=1 and x=5
( 1 4 ) [ x 4 4 + 7 x 3 3 11 x 2 3 + 3 x ], between the limits
= ( 1 4 ) [ ( 5 4 1 ) + 7 ( 5 3 1 ) 11 ( 5 2 1 ) + 3 ( 5 1 ) ]
= ( 1 4 ) [ 624 + 868 264 + 12 ]
= ( 1 4 ) ( 8 )
=-2

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