Final answer to the problem
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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Find the integral
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$\int\left(3x^3+2y^2\right)\left(9x^6-6x^3y^2+4y^4\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (3x^3+2y^2)(9x^6-6x^3y^24y^4). Find the integral. Rewrite the integrand \left(3x^3+2y^2\right)\left(9x^6-6x^3y^2+4y^4\right) in expanded form. Expand the integral \int\left(27x^{9}+8y^{6}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int27x^{9}dx results in: \frac{27}{10}x^{10}.