Question Number 55773 by gunawan last updated on 04/Mar/19
$$\:\underset{−\pi} {\overset{\pi} {\int}}\:\mathrm{sin}\:{x}\:{f}\left(\mathrm{cos}\:{x}\right)\:{dx}\:= \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 04/Mar/19
$${g}\left({x}\right)={sinxf}\left({cosx}\right) \\ $$$${g}\left(−{x}\right)=−{sinxf}\left({cosx}\right) \\ $$$${odd}\:{function} \\ $$$${so}\:\int_{−\pi} ^{\pi} {sinxf}\left({cosx}\right){dx}=\mathrm{0} \\ $$