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