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