∫x√x²-5 dx = Tolong dibantu ya
Matematika
vivitvitriani6
Pertanyaan
∫x√x²-5 dx =
Tolong dibantu ya
Tolong dibantu ya
1 Jawaban
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1. Jawaban Anonyme
Misal :
u = x² - 5
du/dx = 2x
x dx = 1/2 du
∫x √(x² - 5) dx
= ∫u^1/2 . 1/2 du
= 1/2 ∫u^1/2 du
= 1/2 . 1/(1/2 + 1) . u^(1/2 + 1) + C
= 1/2 . 2/3 . u^3/2 + C
= 1/3 . (x² - 5)√(x² - 5) + C