Nilai integral dari 0 hingga 1/3π (sin 2x + 3 cos x) dx adalah...

InTegraL

π/3 = 180°/3 = 60°

∫(sin 2x + 3 cos x) dx [π/3...0]
= ∫ sin 2x dx + 3 ∫ cos dx
= -1/2 ∫dcos 2x + 3 ∫dsin x
= -1/2 cos 2x + 3 sin x
= (-1/2 cos 120° + 3 sin 60°) - (-1/2 cos 0° + 3 sin 0°)
= (1/4 + 3/2 √3) - (-1/2)
= 3/4 + 3/2 √3
= (3/4)(1 + 2√3)