Integral (4x^6 - 3x^5 - 8 / x^7) dx
Matematika
No17
Pertanyaan
Integral (4x^6 - 3x^5 - 8 / x^7) dx
1 Jawaban
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1. Jawaban DB45
integral
gunakan ∫ axⁿ dx = a/(n+1) xⁿ⁺¹ + c
∫(4x⁶ - 3x⁵ -8) /(x⁷) dx
= ∫ (4x⁶ - 3x⁵ -8)x⁻⁷ dx
= ∫ 4x⁻¹ - 3x⁻² - 8x⁻⁷ dx
= 4/(-1+1) x⁻¹⁺¹ - 3/(-2+1) x⁻²⁺¹ - 8/(-7+1) x⁻⁷⁺¹ +c
= 4/(0) x⁰ + 3 x⁻¹ + 8/6 x⁻⁶
= 4 ln x + 3/x + 4/(3x⁶)