Hasil dari integral 0 sampai π/3 (sin x + cos x)(sin x - cos x) dx adalah....

InTegraL TriGonoMetRi

∫(sin x + cos x)(sin x - cos x) dx [π/3...0]
= ∫(sin² x - cos² x) dx
= - ∫cos 2x dx
= -1/2 ∫dsin 2x
= -1/2 sin 2x
= -1/2 sin 120° + 1/2 sin 0°
= -1/4 √3