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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
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- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the expression $\frac{6}{\left(x^2-1\right)^2}$ inside the integral in factored form
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{6}{\left(x+1\right)^2\left(x-1\right)^2}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(6/((x^2-1)^2))dx. Rewrite the expression \frac{6}{\left(x^2-1\right)^2} inside the integral in factored form. Rewrite the fraction \frac{6}{\left(x+1\right)^2\left(x-1\right)^2} in 4 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{3}{2\left(x+1\right)^2}+\frac{3}{2\left(x-1\right)^2}+\frac{3}{2\left(x+1\right)}+\frac{-3}{2\left(x-1\right)}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{3}{2\left(x+1\right)^2}dx results in: \frac{-3}{2\left(x+1\right)}.
