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...
Factor the trinomial $x^2+6x+5$ finding two numbers that multiply to form $5$ and added form $6$
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\begin{matrix}\left(1\right)\left(5\right)=5\\ \left(1\right)+\left(5\right)=6\end{matrix}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(1/(x^2+6x+5))dx. Factor the trinomial x^2+6x+5 finding two numbers that multiply to form 5 and added form 6. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. Rewrite the fraction \frac{1}{\left(x+1\right)\left(x+5\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{4\left(x+1\right)}+\frac{-1}{4\left(x+5\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.