Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by substitution
- Integrate by partial fractions
- 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
- FOIL Method
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Expand the fraction $\frac{x+2}{x^2-4x}$ into $2$ simpler fractions with common denominator $x^2-4x$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{x}{x^2-4x}+\frac{2}{x^2-4x}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x+2)/(x^2-4x))dx. Expand the fraction \frac{x+2}{x^2-4x} into 2 simpler fractions with common denominator x^2-4x. Expand the integral \int\left(\frac{x}{x^2-4x}+\frac{2}{x^2-4x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Rewrite the expression \frac{x}{x^2-4x} inside the integral in factored form. We can solve the integral \int\frac{1}{x-4}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-4 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.