nilai integral dengan batas atas Π/4 dan batas bawah 0 (sin 3x cos3x) dx = ...
Matematika
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Pertanyaan
nilai integral dengan batas atas Π/4 dan batas bawah 0 (sin 3x cos3x) dx = ...
1 Jawaban
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1. Jawaban Es1w1
(0..π/4) ∫ (sin 3x cos 3x) dx
(0..π/4) ∫ 1/2 { 2 sin 3x cos 3x) dx
(0..π/4) ∫ 1/2 ( sin 6 x) dx
= 1/2. 1/6. [(- cos 6x) ](0...π/4)
= -1/12 [ cos 6x ] (0..π/4)
= - 1/12 [ cos 6(π/4) - cos 6(0)]
= - 1/12 [ 0 - 1]
= 1/12