Matematika

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Tolong dong ka integral fungsi trigonometri
Tolong dong ka integral fungsi trigonometri

1 Jawaban

  • Integral Fungsi Trigonometri.

    Nomor 1
    ∫ (5 cos x - 4 sin x) dx
    = 5 sin x - 4 (-cos x) + C = 5 sin x + 4 cos x + C

    Nomor 2
    ∫ sin² x dx
    = ∫ (1 - cos 2x) / 2 dx
    = 1/2 ∫ (1 - cos 2x) dx
    = 1/2 (x - 1/2 sin 2x) + C = 1/2 x - 1/4 sin 2x + C

    Nomor 3
    Identitas trigonometri, 2 sin A cos A = sin 2A
    ∫ 3 sin 2x cos 2x dx
    = ∫ 3/2 sin 4x dx
    = -3/2 (-1/4 cos 4x) + C
    = -3/8 cos 4x + C