hasil integral 2x+3 / ✓3x^2+9x-1 dx =
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hasil integral 2x+3 / ✓3x^2+9x-1 dx =
1 Jawaban
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1. Jawaban Anonyme
Integral Substitusi.
∫ (2x + 3) / √(3x² + 9x - 1) dx
u = 3x² + 9x - 1
du / dx = 6x + 9
= ∫ (2x + 3) u^(1/2) du / (6x + 9)
= 1/3 ∫ u^(-1/2) du
= 1/3 [2u^(1/2)] + C
= 2/3 √(3x² + 9x - 1) + C