Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Load more...
Rewrite the expression $\frac{1}{x^2+x-2}$ inside the integral in factored form
Learn how to solve problems step by step online.
$\int\frac{1}{\left(x-1\right)\left(x+2\right)}dx$
Learn how to solve problems step by step online. Integrate the function 1/(x^2+x+-2) from 2 to infinity. Rewrite the expression \frac{1}{x^2+x-2} inside the integral in factored form. Rewrite the fraction \frac{1}{\left(x-1\right)\left(x+2\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{3\left(x-1\right)}+\frac{-1}{3\left(x+2\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{3\left(x-1\right)}dx results in: \frac{1}{3}\ln\left(x-1\right).
