Final Answer
$2x+\ln\left(x\right)+C_0$
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Step-by-step Solution
Problem to solve:
$\int\frac{2x+1}{x}dx$
Specify the solving method
1
Expand the fraction $\frac{2x+1}{x}$ into $2$ simpler fractions with common denominator $x$
$\int\left(\frac{2x}{x}+\frac{1}{x}\right)dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{2x}{x}+\frac{1}{x}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2x+1)/x)dx. Expand the fraction \frac{2x+1}{x} into 2 simpler fractions with common denominator x. Simplify the resulting fractions. Expand the integral \int\left(2+\frac{1}{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2dx results in: 2x.
Final Answer
$2x+\ln\left(x\right)+C_0$