Tolong dong ka integral fungsi trigonometri
Matematika
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Pertanyaan
Tolong dong ka integral fungsi trigonometri
1 Jawaban
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1. Jawaban Anonyme
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