Question

what is integration of sinx-1/2(sin2x) frm 0 to pi

Answer 1

\[\int_{0}^{\pi}\sin x-\frac12\sin(2x)dx\]?

Answer 2

yes boss ,

Answer 3

you know the integral of sinx I'm guessing, right?

Answer 4

i need whole derivation

Answer 5

the derivation that \[\int_a^b\sin xdx=-\cos x|_a^b\]??
that takes some doing...

Answer 6

yp yp ,try if u can solve remaining part

Answer 7

I'm quite sure I can, but you asked me to prove it
the second integral can be done with the u-substitution\[u=2x\implies du=2dx\]

Answer 8

thnx brother ,i shall try itknow ,thnx for help.
ahmed