Matematika

Pertanyaan

bntuin jawabnya dong teman ...jawab yg betul ya aku kasih point 100
bntuin jawabnya dong teman ...jawab yg betul ya aku kasih point 100

1 Jawaban

  • Diketahui y' = 2x - 3

    y = ∫y' dx
    y = ∫(2x - 3) dx
    y = x² - 3x + C

    Kurva melalui (2,-1)

    -1 = 2² - 3.2 + C
    C = 1

    Persamaan kurva :
    y = x² - 3x + 1

    •••
    ∫y dx [1_-2]
    = ∫(x² - 3x + 1) dx
    = 1/3 x³ - 3/2 x² + x ... [1_-2]
    = 1/3 (1³ - (-2)³) - 3/2 (1² - (-2)²) + (1 - (-2))
    = 1/3 . 9 - 3/2 . (-3) + 3
    = 3 + 9/2 + 3
    = 10,5