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Mathematics 16 Online
OpenStudy (anonymous):

find the average value of function f(x)=sqrt x; [1,8]

OpenStudy (shadowfiend):

Do you know how to find average values using an integral?

OpenStudy (anonymous):

I know.. but I have trouble in converting the sqrt of x to integral...

OpenStudy (shadowfiend):

Ok, fair enough. Remember that \(\sqrt{x}\) is the same as \(x^{1/2}\). Does that help?

OpenStudy (anonymous):

so the integral will be x ^3/2 / 3/2 right?

OpenStudy (shadowfiend):

I believe that's correct, yes.

OpenStudy (anonymous):

yes, in the end you should find the average value to be approximately 2.06

OpenStudy (anonymous):

thanks

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