## Final Answer

## Step-by-step Solution

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The integral of a constant times a function is equal to the constant multiplied by the integral of the function

Learn how to solve definite integrals problems step by step online.

$9\int_{0}^{2} xdx$

Learn how to solve definite integrals problems step by step online. Integrate the function 9x from 0 to 2. 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. Simplifying.