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The average value of a function f(x) ove...

The average value of a function `f(x)` over the interval `[a,b]` is the number `mu=(1)/(b-a)int_(a)^(b)f(x)dx`. The square root `{(1)/(b-a)int_(a)^(b)f^(2)(x)dx}^((1)/(2))` is called the root mean square of `f` on `[a,b]`. The average value `mu` is attained if `f` is continuous on `[a,b]`.
The average ordinae of `y=sinx` over the interval `[0,pi]` is

A

`(1)/(pi)`

B

`(2)/(pi)`

C

`(4)/(pi^(2))`

D

`(2)/(pi^(2))`

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