Matematika

Pertanyaan

∫X (X + 3) PANGKAT 4 DX ADALAH =

1 Jawaban

  • int x(x + 3)⁴ dx = int u'dv

    int u'dv = uv - int v du

    int x(x+3)⁴ dx

    u = x ----------- dv = (x + 3)⁴ dx
    du = dx -------- v = 1/5 (x + 3)⁵

    int u'dv = uv - int v du

    = x. (1/5 (x + 3)⁵) - int 1/5 (x + 3)⁵ dx
    = x/5 (x + 3)⁵ - 1/30 (x + 3)⁶
    = 1/5 ( x(x + 3)⁵ - 1/6 (x + 3)⁶)

    semoga berguna

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