T theschaef New member Joined Oct 17, 2006 Messages 10 Nov 23, 2006 #1 Use the substitution u = pi - x to prove that Integral {0 to pi} x * f(sinx) dx = (pi/2) Integral {0 to pi} f(sinx) dx Not really sure what to do with this, so any help would be great. Thanks.
Use the substitution u = pi - x to prove that Integral {0 to pi} x * f(sinx) dx = (pi/2) Integral {0 to pi} f(sinx) dx Not really sure what to do with this, so any help would be great. Thanks.
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 Nov 23, 2006 #2 There's a nice proof here. Pages 3 and 4 http://www.math.ou.edu/~nbrady/teaching ... 23/am1.pdf
