Matematika

Pertanyaan

Tolong jawab soal ini !
Tolong jawab soal ini !

1 Jawaban

  • InTegraL

    garis
    x + y = 5
    y1 = 5 - x

    kurva
    y2 = x² - 1

    Luas yg diarsir
    = ∫(y2 - y1) dx [5_1]
    = ∫(x² + x - 6) dx
    = 1/3 x³ + 1/2 x² - 6x
    = 1/3 (5³ - 1) + 1/2 (5² - 1) - 6(5 - 1)
    = 124/3 + 12 - 24
    = 41 1/3 - 12
    = 29 1/3 satuan luas