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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$\int\frac{7x^3-14x^2+21x-28}{x^2-x-1}dx$
Learn how to solve problems step by step online. Integrate the function (7x^3-14x^221x+-28)/(x^2-x+-1). Find the integral. Divide 7x^3-14x^2+21x-28 by x^2-x-1. Resulting polynomial. Expand the integral \int\left(7x-7+\frac{21x-35}{x^2-x-1}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.