integral 2x^2 akar 4x^3-5 dx
Matematika
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Pertanyaan
integral 2x^2 akar 4x^3-5 dx
1 Jawaban
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1. Jawaban Anonyme
jawab
∫ 2x² √(4x³ -5) dx
u = 4x³ - 5
du = 12x² dx
2x² dx = 1/6 du
∫ 2x² √(4x³ -5) dx = ∫ (1/6)(u)^(1/2) du
= 1/6.2/3. u^(3/2) + c
= 1/9 u√ u + c
= 1/9 (4x³ -5) √(4x³-5) + c