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- Find the integral
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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$\int\left(\left(3x+5\right)^3-27x^3\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (3x+5)^3-27x^3. Find the integral. Expand the integral \int\left(\left(3x+5\right)^3-27x^3\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\left(3x+5\right)^3dx results in: \frac{1}{12}\left(3x+5\right)^{4}. The integral \int-27x^3dx results in: -\frac{27}{4}x^{4}.