Problem

$\int \frac{x-1}{x^{2}} d x$

Answer

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Answer

Final Answer: \(\boxed{\log(x) + \frac{1}{x}}\)

Steps

Step 1 :This is a problem of integral calculus. The integral is of a rational function.

Step 2 :We can simplify the integrand by dividing each term in the numerator by \(x^{2}\), which will make it easier to integrate.

Step 3 :The integral of the function \(\frac{x-1}{x^{2}}\) is \(\log(x) + \frac{1}{x}\).

Step 4 :Final Answer: \(\boxed{\log(x) + \frac{1}{x}}\)

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