Questions: a. ∫ from 1 to 3 of 6 f(x) dx = □ (Simplify your answer.)

Transcript text: a. $\int_{1}^{3} 6 f(x) d x=\square$ (Simplify your answer.)

Solution

Solution Steps

Step 1: Understand the integral

The integral given is $\int_{1}^{3} 6 f(x) \, dx$. This represents the definite integral of the function $6 f(x)$ from $x = 1$ to $x = 3$.

Step 2: Factor out the constant

Since $6$ is a constant, it can be factored out of the integral: \[ \int_{1}^{3} 6 f(x) \, dx = 6 \int_{1}^{3} f(x) \, dx. \]

Step 3: Evaluate the integral

The integral $\int_{1}^{3} f(x) \, dx$ is not specified in the problem, so we cannot compute its exact value. However, the problem asks us to simplify the expression, which we have done by factoring out the constant.

Final Answer

\[ \boxed{6 \int_{1}^{3} f(x) \, dx} \]

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