Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- 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
- FOIL Method
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Expand the integral $\int\left(x+\frac{2}{x^2-1}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integrals of polynomial functions problems step by step online.
$\int xdx+\int\frac{2}{x^2-1}dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(x+2/(x^2-1))dx. Expand the integral \int\left(x+\frac{2}{x^2-1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Factor the difference of squares x^2-1 as the product of two conjugated binomials. Rewrite the fraction \frac{2}{\left(x+1\right)\left(x-1\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-1}{x+1}+\frac{1}{x-1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.