Final answer to the problem
$6x-\frac{1}{2}x^2+C_0$
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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
Rewrite the expression $3-\left(x-3\right)$ inside the integral in factored form
Learn how to solve limits by direct substitution problems step by step online.
$\int\left(6-x\right)dx$
Learn how to solve limits by direct substitution problems step by step online. Integrate int(3-(x-3))dx. Rewrite the expression 3-\left(x-3\right) inside the integral in factored form. Expand the integral \int\left(6-x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int6dx results in: 6x. The integral \int-xdx results in: -\frac{1}{2}x^2.
Final answer to the problem
$6x-\frac{1}{2}x^2+C_0$
