tolong dong integral 1/√x(1+√x) ^3
Matematika
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Pertanyaan
tolong dong integral 1/√x(1+√x) ^3
1 Jawaban
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1. Jawaban yanfardian
Misal :
u = 1 + √x
du/dx = 1/(2√x)
1/√x dx = 2 du
∫(1/√x . 1/(1 + √x)^3 dx
= ∫u^-3 . 2 du
= 2 /(-2) . u^-2 + C
= -1/(1 + √x)² + C