Matematika

Pertanyaan

Luas daerah yang dibatasi oleh y=x²-5x+6,sumbu x, dan 0

1 Jawaban

  • y = x² - 5x + 6
    x² - 5x + 6 = 0
    (x - 3)(x - 2) = 0
    x = 3 dan x = 2
    - (x² - 5x + 6) dx
    -(⅓x³ - (5/2)x² + 6x)
    - { {⅓(3³) - (5/2)(3²) + 6(3)} - {⅓(2³) - (5/2)(2²) + 6(2)} }
    = - ({9 - (45/2) + 18} - {(8/3) - 10 + 12})
    = - ({27 - (45/2)} - {(8/3) + 2})
    = -(25 - (45/2) - (8/3))
    = -( 25 - (135/6) - (16/6))
    = -(25 - (151/6))
    = -(150/6 - 151/6)
    = -(-1/6)
    = 1/6

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