Question

Qual é a integral indefinida / x+1/x dx?​

Answer 1

Resposta:

=  $Se for \int\limits {\frac{x+1}{x} } \, dx \\\\\\ \ \int\limits {1 +\frac{1}{x} } \, dx \\\\\\x + \int\limits {\frac{1}{x} } \, dx \\\\\\\\x +ln|x| + constante$

Answer 2

Resposta:

$x+ln \mid x \mid$+ cte

Explicação passo-a-passo:

$\int\frac{x+1}{x} } \, dx=\int\frac{x}{x}+ \frac{1}{x}=\int\ 1+ \frac{1}{x}=x+ln \mid x \mid$ + cte.

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