Matematika

Pertanyaan

integral x (x- 1)^2 /akar x

1 Jawaban

  • integral

    ∫ x(x-1)² /(√x) dx = ∫ x(x² -2x +1) / (x¹/²) dx
    = ∫ (x³ - 2x² + x)(x⁻¹/²) dx
    = ∫ x⁵/² - 2x³/² + x¹/² dx
    = ²/₇ x⁷/²  - 2(²/₅)x⁵/² + ²/₃ x³/² +c
    = ²/₇ x³ √x - ⁴/₅ x² √x + ²/₃  x√x + c

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