selesaikan integral substitusi integral 4x akar x^2-1 dx
Matematika
reni272
Pertanyaan
selesaikan integral substitusi integral 4x akar x^2-1 dx
1 Jawaban
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1. Jawaban Anonyme
InTegraL
Misal :
u = x² - 1
du/dx = 2x
2x dx = du
4x dx = 2 du
∫4x√(x² - 1) dx
= ∫ u^1/2 . 2 du
= 2 . 1/(3/2) . u^3/2 + C
= 4/3 u√u + C
= 4/3 (x² - 1)√(x² - 1) + C