Final answer to the problem
$2x-\frac{14}{5}\ln\left|x-2\right|-\frac{1}{5}\ln\left|x+3\right|+C_0$
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Step-by-step Solution
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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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1
Rewrite the expression $\frac{2x^2-x-20}{x^2+x-6}$ inside the integral in factored form
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{2x^2-x-20}{\left(x-2\right)\left(x+3\right)}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2x^2-x+-20)/(x^2+x+-6))dx. Rewrite the expression \frac{2x^2-x-20}{x^2+x-6} inside the integral in factored form. Expand. Divide 2x^2-x-20 by x^2+x-6. Resulting polynomial.
Final answer to the problem
$2x-\frac{14}{5}\ln\left|x-2\right|-\frac{1}{5}\ln\left|x+3\right|+C_0$
