Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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Expand the fraction $\frac{x+3}{x^2+2x}$ into $2$ simpler fractions with common denominator $x^2+2x$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{x}{x^2+2x}+\frac{3}{x^2+2x}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x+3)/(x^2+2x))dx. Expand the fraction \frac{x+3}{x^2+2x} into 2 simpler fractions with common denominator x^2+2x. Expand the integral \int\left(\frac{x}{x^2+2x}+\frac{3}{x^2+2x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Rewrite the expression \frac{x}{x^2+2x} inside the integral in factored form. The integral \int\frac{1}{x+2}dx results in: \ln\left(x+2\right).