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- 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
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Factor the trinomial $x^2+x-6$ finding two numbers that multiply to form $-6$ and added form $1$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{matrix}\left(-2\right)\left(3\right)=-6\\ \left(-2\right)+\left(3\right)=1\end{matrix}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x+3)/(x^2+x+-6))dx. Factor the trinomial x^2+x-6 finding two numbers that multiply to form -6 and added form 1. Thus. Simplifying. We can solve the integral \int\frac{1}{x-2}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that x-2 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.