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# Integrate the function $9x$ from $-1$ to $1$

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## Step-by-step Solution

Problem to solve:

$\int_{-1}^{1}9xdx$

Specify the solving method

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

$9\int_{-1}^{1} xdx$

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

$9\int_{-1}^{1} xdx$

Learn how to solve definite integrals problems step by step online. Integrate the function 9x from -1 to 1. 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.

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$\int_{-1}^{1}9xdx$

### Main topic:

Definite Integrals

~ 0.03 s