Final answer to the problem
$\frac{-10}{x}+\ln\left|x\right|+C_0$
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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 $\frac{10+x}{x^2}$ into $2$ simpler fractions with common denominator $x^2$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{10}{x^2}+\frac{x}{x^2}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((10+x)/(x^2))dx. Expand the fraction \frac{10+x}{x^2} into 2 simpler fractions with common denominator x^2. Simplify the resulting fractions. Expand the integral \int\left(\frac{10}{x^2}+\frac{1}{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{10}{x^2}dx results in: \frac{-10}{x}.
Final answer to the problem
$\frac{-10}{x}+\ln\left|x\right|+C_0$
