Final answer to the problem
$24$
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Step-by-step Solution
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- 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
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1
The integral of a constant times a function is equal to the constant multiplied by the integral of the function
$3\int_{1}^{3}\left(3x-2\right)dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate the function 3(3x-2) from 1 to 3. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Expand the integral \int_{1}^{3}\left(3x-2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Solve the product 3\left(\int_{1}^{3}3xdx+\int_{1}^{3}-2dx\right). The integral 3\int_{1}^{3}3xdx results in: 36.
Final answer to the problem
$24$
