sinxsin3xsin2x=-1/2(cos4x-cos2x)sin2x=1/2(sin2xcos4x-sin2xcos2x)=1/2*[1/2(sin6x-sin2x)-1/2sin4x]=1/4*sin6x-1/4*sin2x-1/4*sin4x原式=1/4∫sin6xdx-1/4∫sin2xdx-1/4∫sin4xdx=-cos6x/24+cos2x/8+cos4x/16+C...