Matematika

Pertanyaan

soal integral tentu
mohon bantu, makasih
soal integral tentu mohon bantu, makasih

2 Jawaban

  • 0∫6 (f(x)) dx
    = 0∫3 (f(x)) dx + 3∫6 (f(x)) dx
    = 0∫3 (x + 4) dx + 3∫6 (2 - 4x) dx
    = [1/2 x^2 + 4x] (0|3) + [2x - 2x^2] (3|6)
    = [(1/2 (3)^2 + 4(3)) - (1/2 (0)^2 + 4(0))] + [(2(6) - 2(6)^2) - (2(3) - 2(3)^2)]
    = [(9/2 + 12) - (0 + 0)] + [(12 - 72) - (6 - 18)]
    = 4,5 + 12 + (-60) - (-12)
    = -31,5

    = -31 1/2

    = -63/2
  • integral tertentu
    ₀⁶ ∫ f (x) dx = ₀³ ∫ f(x) dx + ₃⁶∫ f(x) dx

    =₀³ ∫ (x+4) dx + ₃⁶∫ 2 - 4x dx
    = [¹/₂ x² + 4x]³₀  + [2x - 2x²]⁶₃
    = 1/2(9-0) + 4(3-0) + 2(6-3) -  2(36-9)
    = 9/2 + 12 + 6 - 27/2
    = 18 - 18/2
    = 9