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Matematika
Anugrahh
Pertanyaan
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1 Jawaban
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1. Jawaban ekamiaww
[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]