Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

I believe that's correct, yes.

Answer 6

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

Answer 7

thanks