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