IIT JEE , AIEEE Forum - Mathematics , Differential Calculus - INTEGRATE THE FUNCTION- f(x)= xf(cosx) FROM 0 to 2 pie ?

rohith291991

ok yes ur right there my mistake.....

but something seems to be wrong in this step..._{[0 ]}

^{[ 2pi]} f ( cos x ) dx = g ( cos ( 2pi ) ) - g ( cos ( 0 )) = 0 is this valid for any f ?? just plot the function e^cos(x) and see http://www.pa.uky.edu/~phy211/graph_applets/plot_graph.html