Selesaikan integral berikut! [tex] \int\frac{(x+1)^2}{x^2} [/tex] dx [tex] \int ( \sqrt{x} - \frac{1}{ \sqrt{x} })^2 [/tex] dx
Matematika
Latishahandoko
Pertanyaan
Selesaikan integral berikut!
[tex] \int\frac{(x+1)^2}{x^2} [/tex] dx
[tex] \int ( \sqrt{x} - \frac{1}{ \sqrt{x} })^2 [/tex] dx
[tex] \int\frac{(x+1)^2}{x^2} [/tex] dx
[tex] \int ( \sqrt{x} - \frac{1}{ \sqrt{x} })^2 [/tex] dx
1 Jawaban
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1. Jawaban Anonyme
saya no pertama
Int (x + 1)²/x² dx
= int (x² + 2x + 1)x^-2 dx
= int (1 - 2x^-1 + x^-2) dx
= x - 2 ln(x) - x^-1 + c
= x - 2 ln(x) - (1/x) + x