Questions: Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) [ int frac3x d x ]

$Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) [ int frac3x d x ]$

Transcript text: Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) \[ \int \frac{3}{x} d x \]

Solution

Solution Steps

Step 1: Set Up the Integral

We start with the indefinite integral we need to solve: \[ \int \frac{3}{x} \, dx \]

Step 2: Compute the Integral

The integral of $\frac{3}{x}$ is computed as follows: \[ \int \frac{3}{x} \, dx = 3 \log |x| + C \] where $C$ is the constant of integration.

Final Answer

Thus, the final result of the indefinite integral is: \[ \boxed{3 \log |x| + C} \]

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