Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by trigonometric substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\frac{3x^8-81}{3x^2+4}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (3x^8-81)/(3x^2+4). Find the integral. Divide 3x^8-81 by 3x^2+4. Resulting polynomial. Expand the integral \int\left(x^{6}-\frac{4}{3}x^{4}+\frac{16}{9}x^{2}-\frac{64}{27}+\frac{-1931}{27\left(3x^2+4\right)}\right)dx into 5 integrals using the sum rule for integrals, to then solve each integral separately.