integral tak tentu (2x -3) akar x² - 3x + 3 dx
Matematika
faradilamahya8430
Pertanyaan
integral tak tentu (2x -3) akar x² - 3x + 3 dx
1 Jawaban
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1. Jawaban Anonyme
InTegraL
>> Tak Tentu
Misal :
u = x² - 3x + 3
du/dx = 2x - 3
(2x - 3) dx = du
∫(2x - 3)√(x² - 3x + 3) dx
= ∫u^1/2 .du
= 1/(3/2) . u^3/2 + C
= 2/3 u√u + C
= 2/3 (x² - 3x + 3)√(x² - 3x + 3) + C ✔