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 $\frac{1}{x^2+7x+6}$ inside the integral in factored form
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{1}{\left(x+1\right)\left(x+6\right)}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(1/(x^2+7x+6))dx. Rewrite the expression \frac{1}{x^2+7x+6} inside the integral in factored form. Rewrite the fraction \frac{1}{\left(x+1\right)\left(x+6\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{5\left(x+1\right)}+\frac{-1}{5\left(x+6\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{5\left(x+1\right)}dx results in: \frac{1}{5}\ln\left(x+1\right).
