Final answer to the problem
$\frac{\ln\left|u\right|}{x^2}+C_0$
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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
Take the constant $\frac{1}{x^2}$ out of the integral
$\frac{1}{x^2}\int\frac{1}{u}du$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(ux^2))du. Take the constant \frac{1}{x^2} out of the integral. The integral of the inverse of the lineal function is given by the following formula, \displaystyle\int\frac{1}{x}dx=\ln(x). Multiply the fraction by the term \ln\left|u\right|. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final answer to the problem
$\frac{\ln\left|u\right|}{x^2}+C_0$
