Matematika

Pertanyaan

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1 Jawaban

  • [tex]\int\limits {250x^{27}.sin50x^{28}} \, dx [/tex]
    menggunakan integral substitusi
    misal. u = 50x²⁸
             du = 1400x²⁷ dx
          5/28 du = 5/28 . 1400x²⁷ dx
           5/28 du = 250x²⁷ dx
    maka,

    [tex]\int\limits {250x^{27}.sin50x^{28}} \, dx \\ = \int\limits {sinu. \frac{5}{28} } \, du \\ =\frac{5}{28} \int\limits {sinu. } \, du \\ =\frac{5}{28}.-cosu+c \\ =-\frac{5}{28}cosu+c \\ =-\frac{5}{28}cos50x^{28}+c[/tex]