Final answer to the problem
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How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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Expand the fraction $\frac{x+5}{x^2-1}$ into $2$ simpler fractions with common denominator $x^2-1$
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$\int\left(\frac{x}{x^2-1}+\frac{5}{x^2-1}\right)dx$
Learn how to solve problems step by step online. Find the integral int((x+5)/(x^2-1))dx. Expand the fraction \frac{x+5}{x^2-1} into 2 simpler fractions with common denominator x^2-1. Expand the integral \int\left(\frac{x}{x^2-1}+\frac{5}{x^2-1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{x}{x^2-1}dx results in: \frac{1}{2}\ln\left(x^2-1\right). The integral \int\frac{5}{x^2-1}dx results in: -\frac{5}{2}\ln\left(x+1\right)+\frac{5}{2}\ln\left(x-1\right).
