Final answer to the problem
$\ln\left|u\right|-u+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Expand the fraction $\frac{1-u}{u}$ into $2$ simpler fractions with common denominator $u$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{1}{u}+\frac{-u}{u}\right)du$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((1-u)/u)du. Expand the fraction \frac{1-u}{u} into 2 simpler fractions with common denominator u. Simplify the resulting fractions. Expand the integral \int\left(\frac{1}{u}-1\right)du into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{u}du results in: \ln\left(u\right).
Final answer to the problem
$\ln\left|u\right|-u+C_0$
