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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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Rewrite the expression $\frac{1}{x^4+3x^2+2}$ inside the integral in factored form
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{1}{\left(x^2+1\right)\left(x^2+2\right)}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(1/(x^4+3x^2+2))dx. Rewrite the expression \frac{1}{x^4+3x^2+2} inside the integral in factored form. Rewrite the fraction \frac{1}{\left(x^2+1\right)\left(x^2+2\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{x^2+1}+\frac{-1}{x^2+2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{x^2+1}dx results in: \arctan\left(x\right).