Matematika

Pertanyaan

tolong bantu integral ya
tolong bantu integral ya

1 Jawaban

  • INTEGRAL TRIGONOMETRI

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

    ∫sin (2x - π/4) dx [π/4_0]
    = -1/2 ∫dcos (2x - π/4)
    = -1/2 cos (2x - π/4)
    = (-1/2 cos (2.π/4 - π/4) - (-1/2 cos (2.0 - π/4))
    = (-1/4 √2) - (-1/4 √2)
    = 0