Final Answer
$192$
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Step-by-step Solution
Problem to solve:
$\int_{2}^{6}12xdx$
Specify the solving method
1
The integral of a constant times a function is equal to the constant multiplied by the integral of the function
$12\int_{2}^{6} xdx$
Learn how to solve definite integrals problems step by step online.
$12\int_{2}^{6} xdx$
Learn how to solve definite integrals problems step by step online. Integrate the function 12x from 2 to 6. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Evaluate the definite integral. Simplify the expression inside the integral.
Final Answer
$192$