Matematika

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

1 Jawaban

  • 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

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