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