Matematika

Pertanyaan

1.integral ((x+3)(x-3))/x^2
2.integral (3x^2-5X^2+11)/x^2
tolong dibantu y. butuh banget soalnya

1 Jawaban

  • Integral Tak Tentu
    ∫ a xⁿ dx = a/(n+1) x^(n+1) + C

    1.
    ∫ (x+3)(x-3) / x² dx  = ∫(x² - 9)(x⁻²) dx
    = ∫ x²⁻² - 9 x⁻² dx
    = ∫ 1 - 9x⁻² dx = x - 9/(-1) x⁻¹ + c
    = x + 9/x + c
    = (x² +9)/x  + c
    = 1/x (x² +9) + c

    2.
    ∫ (3x² - 5x² +11) /(x²) dx
    = ∫ (- 2x² +11)(x⁻²) dx
    = ∫ (-2  + 11 x⁻²) dx
    = - 2x - 11x⁻¹ + c
    = -2x - 11/x + c
    =  - 1/x (2x² + 11) + c
    .

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