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Average value of the function:f(x)=2x+1 on [0,4]

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jjmgingrich | Student, Undergraduate | (Level 1) Salutatorian

Posted July 14, 2013 at 6:08 PM via web

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Average value of the function:f(x)=2x+1 on [0,4]

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted July 14, 2013 at 6:13 PM (Answer #1)

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The average of the function 2x + 1 on [0, 4] is the sum of f(x) for x in [0, 4] divided by (4 - 0) = 4

`int_0^4 2x + 1 dx`

= `x^2_0^4 + x_0^4`

= 16 + 4

= 20

`20/4 = 5`

The required average is 5

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