Matematika

Pertanyaan

2 integral x sin x dx

1 Jawaban

  • Integral Parsial

    ∫ x sin x dx
    ..
    cara langsung
    = (x)(-cos x) - (1)(-sin x) + c
    = - x cos x + sin x + c

    cara parsial
    u = x --> du =  dx
    dv =  sin x --> v = -cos x 

    ∫u dv = u v - ∫ v du
    ∫ x sin x dx = x (-cos x) - ∫ - cos x dx
    ∫ x sin x dx = -x cos x + sin x + c

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