Matematika

Pertanyaan

integral 2x^2 akar 4x^3-5 dx

1 Jawaban

  • jawab

    ∫ 2x² √(4x³ -5) dx

    u = 4x³ - 5
    du = 12x² dx
    2x² dx = 1/6 du

    ∫ 2x² √(4x³ -5) dx =  ∫ (1/6)(u)^(1/2) du
    = 1/6.2/3. u^(3/2) + c
    = 1/9 u√ u + c
    = 1/9 (4x³ -5) √(4x³-5) + c

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