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- Integrate by partial fractions
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- Integrate using tabular integration
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- Weierstrass Substitution
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- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the expression $\frac{1}{x^4-1}$ inside the integral in factored form
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$\int\frac{1}{-\left(1+x^2\right)\left(1+x\right)\left(1-x\right)}dx$
Learn how to solve problems step by step online. Find the integral int(1/(x^4-1))dx. Rewrite the expression \frac{1}{x^4-1} inside the integral in factored form. Take the constant \frac{1}{-1} out of the integral. Rewrite the fraction \frac{1}{\left(1+x^2\right)\left(1+x\right)\left(1-x\right)} in 3 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{2\left(1+x^2\right)}+\frac{1}{4\left(1+x\right)}+\frac{1}{4\left(1-x\right)}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.
