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Step-by-step Solution
How should I solve this problem?
- 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
- FOIL Method
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$\int\frac{x^4-6x^3+12x^2+6}{x^3-6x^2+12x-8}dx$
Learn how to solve problems step by step online. Integrate the function (x^4-6x^312x^2+6)/(x^3-6x^212x+-8). Find the integral. Divide x^4-6x^3+12x^2+6 by x^3-6x^2+12x-8. Resulting polynomial. Expand the integral \int\left(x+\frac{8x+6}{x^3-6x^2+12x-8}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.