Find the average value of the function over the given interval and all values of

Question

Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value. (Round your answers to three decimal places.)

Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value. (Round your answers to three decimal places.) f(x) = ?sin x, [0, ?] Please note there are two points that i need. I got to the part where 2/pi is the average value but i cant seem to understand how to go about to get the two points.

Explanation / Answer

first calculate ? -sin(x) dx = [-cos(x) = -cos(?/2) + cos(0) = -0+1 =1
Average value = 1 / ?/2 = 2/?
function value = 4/?
so.....2cos(x) = 2/?
cos(x) = 1/?

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