Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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Find the integral
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$\int\left(2x-3\left(x-3\right)^2\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function 2x-3(x-3)^2. Find the integral. Expand the integral \int\left(2x-3\left(x-3\right)^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2xdx results in: x^2. The integral \int-3\left(x-3\right)^2dx results in: -\left(x-3\right)^{3}.