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