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
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$\int2x\left(2x^2-6x+3\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function 2x(2x^2-6x+3). Find the integral. The integral of a function times a constant (2) is equal to the constant times the integral of the function. Rewrite the integrand x\left(2x^2-6x+3\right) in expanded form. Expand the integral \int\left(2x^{3}-6x^2+3x\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.