Matematika

Pertanyaan

intergral tentu atas 1 bawah 0 (x+akar x)² dx =

1 Jawaban

  • InTegraL

    ∫(x + √x)² dx [1...0]
    = ∫(x² + 2x√x + x) dx
    = ∫(x² + 2x^3/2 + x) dx
    = 1/3 x³ + 4/5 x^5/2 + 1/2 x²
    = 1/3 . 1³ + 4/5 .1^5/2 + 1/2 . 1² - 0
    = 1/3 + 4/5 + 1/2
    = (10 + 12 + 15)/30
    = 37/30 ✔

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