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Find the average value of the function `f(x)=6x+4e^x` between x=0 and x=2.
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High School Teacher
To get the average value of a function in a given interval use the formula:
Plug-in f(x)=6x+4e^x, a=0 and b=2.
`f_(avg)=1/2 ((6x^2)/2 + 4e^x)``|_0^2`
Hence, the average value of the function of `f(x)=6x+4e^x` in the interval [0,2] is `f_(avg)=4+2e^2` .
Posted by mjripalda on February 28, 2013 at 11:53 PM (Answer #1)
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