Integral 4cos2x-5sin3x
Matematika
22ad
Pertanyaan
Integral 4cos2x-5sin3x
1 Jawaban
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1. Jawaban whongaliem
misal : u = 2x dan v = 3x
du/dx = 2 dv/dx = 3
dx = 1/2 .du dx = 1/3 .du
∫ 4.cos 2x - 5 sin 3x = ∫ 4.cos 2x dx - ∫ 5.sin 3x dx
= ∫ 4 .cos u .1/2 .du - ∫ 5.sin v . 1/3 .dv
= ∫ 2 .cos u du - ∫ 5/3 sin v dv
= 2 .sin u - (- 5/3 cos v )+ c
= 2 sin 2x + 5/3 cos 3x + c