∫0到π √[sin^3(x)-sin^5(x)]dx =∫0到π √sin^3(x)[1-sin^2(x)]dx =∫0到π √sin^3(x)cos^2(x)dx =∫0到π cos(x)√sin^3(x)dx =∫0到πsin^3/2(x)dsin(x) =2/5sin^5/2(x)│0到π =0