Matematika

Pertanyaan

Nilai integral (sin 2x + 3 cos x) dx.batas atas 1/3phi,batas bawah 0

1 Jawaban

  • 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)

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