integral 4x^6 + 3x^5 - 8 / x^5 dx = tolong donk kaaa....
Matematika
Nailaa8
Pertanyaan
integral 4x^6 + 3x^5 - 8 / x^5 dx =
tolong donk kaaa....
tolong donk kaaa....
1 Jawaban
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1. Jawaban algebralover
[tex] Gunakan : \int {ax^n} \, dx = \frac{a}{n+1}\ x^{n+1} + c \\ \\ \\ = \int { \frac{4x^6+3x^5-8}{x^5} } \, dx \\ \\ = \int {(4x^6+3x^5-8) \times (x^{-5}) } \, dx \\ \\ = \int {(4x^6 \times x^{-5})+(3x^5\times x^{-5})-(8 \times x^{-5}) } \, dx \\ \\ = \int {4x^1+3x^0-8x^{-5} } \, dx \\ \\ = ( \frac{4}{1+1}\ x^{1+1})+( \frac{3}{0+1}\ x^{0+1})-( \frac{8}{-5+1}\ x^{-5+1}) \\ \\ =2x^2+3x-(-2x^{-4}) \\ \\=2x^2+3x+ \frac{2}{x^4} [/tex]
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