Final Answer
$\frac{1}{2}x^2-\ln\left(x\right)+C_0$
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Step-by-step Solution
Problem to solve:
$\int\frac{x^2-1}{x}dx$
Specify the solving method
1
Expand the fraction $\frac{x^2-1}{x}$ into $2$ simpler fractions with common denominator $x$
$\int\left(\frac{x^2}{x}+\frac{-1}{x}\right)dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{x^2}{x}+\frac{-1}{x}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^2-1)/x)dx. Expand the fraction \frac{x^2-1}{x} into 2 simpler fractions with common denominator x. Simplify. Expand the integral \int\left(x+\frac{-1}{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int xdx results in: \frac{1}{2}x^2.
Final Answer
$\frac{1}{2}x^2-\ln\left(x\right)+C_0$