Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by trigonometric substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Factor the trinomial $x^2+5x-6$ finding two numbers that multiply to form $-6$ and added form $5$
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\begin{matrix}\left(-1\right)\left(6\right)=-6\\ \left(-1\right)+\left(6\right)=5\end{matrix}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((x+4)/(x^2+5x+-6))dx. Factor the trinomial x^2+5x-6 finding two numbers that multiply to form -6 and added form 5. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. Rewrite the fraction \frac{x+4}{\left(x-1\right)\left(x+6\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{5}{7\left(x-1\right)}+\frac{2}{7\left(x+6\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.
