Question

Find the average value of the function over the given interval.

(Round your answer to three decimal places.)
f(x) = sin x, [0, ]
Find all values of x in the interval for which the
function eqution

Answer 1

To find the average value of the function f(x) = sin x over the interval [0, ], we need to evaluate the definite integral of the function over that interval and divide by the length of the interval. Since we don't know the upper limit of the interval, we can't calculate the average value of the function.

Step-by-step explanation:

To find the average value of the function f(x) = sin x over the interval [0, ], we need to evaluate the definite integral of the function over that interval and divide by the length of the interval.

The definite integral of sin x from 0 to is:

∫[0, ] sin x dx = [-cos x] from 0 to = -cos() - (-cos(0)) = -cos() + 1

Since we don't know the upper limit of the interval, we can't calculate the average value of the function.