Matematika

Pertanyaan

please tolong bantu di jawab.
please tolong bantu di jawab.

1 Jawaban

  • Integral Tertentu
    1.

    ⁴₁∫ (√x  - 2)(2√x +1) dx =
    = ₁⁴∫ (2x  + √ x - 4√x - 2) dx
    = ₁⁴∫ (2x - 3√x -2) dx
    = ₁⁴∫ 2x - 3x¹/²  - 2 dx
    = [ x² - 2x³/² - 2x]⁴₁
    = (4² -1²) - 2(4³/² - 1³/²) - 2(4 -1)
    = (16-1) - 2(8-1) - 2(3)
    = 15 - 14 - 6
    = - 5

    2)
    ᵇ₁∫(3x² + 6x + 1) dx = 52

    = [ x³ + 3x² + x]ᵇ₁ = 52
    = (b³ + 3b² +b) - (1 +3 + 1) = 52
    b³+ 3b² + b - 57 = 0
    (b-3)(b²+6b +19) = 0
    b - 3 = 0 atau b² + 6b + 19 = 0 ( D < 0)
    b = 3