Nilai integral (sin 2x + 3 cos x) dx.batas atas 1/3phi,batas bawah 0
Matematika
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Pertanyaan
Nilai integral (sin 2x + 3 cos x) dx.batas atas 1/3phi,batas bawah 0
1 Jawaban
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1. Jawaban Anonyme
InTegraL
∫(sin 2x + 3 cos x) dx [π/3...0]
= -1/2 ∫dcos 2x + 3 ∫dsin x
= -1/2 cos 2x + 3sin x
= (-1/2 cos 120° + 3 sin 60°) - (-1/2 cos 0° + 3 sin 0)
= (1/4 + 3/2 √3) + 1/2
= 3/4 (1 + 2√3)