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Matematika
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tolong dijawab please!!!!!!!
1 Jawaban
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1. Jawaban DB45
integral tak tentu
∫ a xⁿ dx = a/(n+1) xⁿ⁺¹
a. ∫ 4x³ dx = 4/4 x⁴ + c = x⁴ + c
b. ∫ 4x⁴ - 4x³ + 3x² - 6x dx = 4/5 x⁵ - 4/4 x⁴ + 3/3 x³ - 6/2 x² + c
= 4/5 x⁵ - x⁴ + x³ - 3x² + c
c. ∫ 6x⁸ dx = 6/9 x⁹ + c = 2/3 x⁹ + c
d. ∫ (2x -3)² dx = ∫ 4x² - 12x + 9 dx
= 4/3 x³ - 12/2 x² + 9x + c
= 4/3 x³ - 6x² + 9x + c
e. ∫ x² ( x + 6) dx = ∫ x³ + 6x² dx
= 1/3 x³ + 6/3 x² + c
= 1/3 x³ + 2x² + c
f. ∫ 1/x³ dx = ∫ x⁻³ dx = 1/(-2) x⁻² + c
= - 1/2 x⁻² + c
= -1/(2x²) + c
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