Matematika

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Tolong di bantu, pleaseeeee. Perlu besok dan belum siap
Tolong di bantu, pleaseeeee. Perlu besok dan belum siap

2 Jawaban

  • jawab

    ∫²₁ (x³ - 1/x³) dx + ₂⁵∫ (x³ - 1/x³) dx =

    = ₁⁵ ∫ (x³ - x⁻³) dx

    = [ 1/4 x⁴ + 1/2 x⁻²]⁵₁

    = 1/4 (x⁴) + 1/2 (1/x²) ]⁵₁

    = 1/4 (5⁴ -1⁴) + 1/2 { 1/25 - 1/1}

    = 1/4 (624)  + 1/2 (- 24/25)

    = 156  - 12/25

    = 155 ¹³/₂₅


    (5)
     
    ∫ 3x (2x² - 1)² dx
    u = 2x² - 1
    du = 4x dx
    3x dx = 3/4 du

    ∫  3/4 u² du  =
    = 3/4 . 1/3 . u³ + c
    = 1/4  (2x² -1)³ + c

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