Question

if f(x)=sin(x) for all x, then average value of f on the interval (0,pi) is ?

Answer 1

\[
\overline{f}=\frac{1}{b-a}\int_a^bf(x)\;dx
\]

Answer 2

\(a=0,\;b=\pi,\;f(x)=\sin(x)\)

Answer 3

we have the answer 2/pi ?

Answer 4

That is correct.

Answer 5

http://www.wolframalpha.com/input/?i=average+sin+x++x+%3D+0+to+pi

Answer 6

Medal?