Matematika

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nilai integral dengan batas atas Π/4 dan batas bawah 0 (sin 3x cos3x) dx = ...

1 Jawaban

  • (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 

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