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How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- 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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$\int\frac{4x^3+x+1}{-x^2-1}dx$
Learn how to solve problems step by step online. Find the integral int((4x^3+x+1)/(x-(x^2+x+1)))dx. Expand. Divide 4x^3+x+1 by -x^2-1. Resulting polynomial. Expand the integral \int\left(-4x+\frac{-3x+1}{x-\left(x^2+x+1\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.