Question

Use the formula V = ∫(a to b) A(x) dx to find the volume of the formula.

Credit.
The lower limit of integration is a = [your answer].
The upper limit of integration is b = [your answer].
The side [your answer].

Answer 1

The formula provided,
`\(V = \int_(a)^(b) A(x) \,dx\),` represents the volume calculation for a region described by the function
`\(A(x)\).` Unfortunately, the specific function
`\(A(x)\)` and the limits of integration,
`\(a\) and \(b\)`, are not provided in the question. To provide a more accurate answer, additional information about the function and the interval is required.

Step-by-step explanation:

The formula
`\(V = \int_(a)^(b) A(x) \,dx\)` represents the definite integral of a function
`\(A(x)\)` with respect to
`\(x\)` over the interval
`\([a, b]\)`. This integral is used to calculate the volume of the region between the graph of
`\(A(x)\)` and the x-axis over the specified interval. However, without the explicit function
`\(A(x)\)` and the limits of integration
`\(a\) and \(b\)`, it is impossible to perform the integration and determine the volume.

For a comprehensive explanation, we need to know the specific function
`\(A(x)\)` that describes the cross-sectional area of the region at each
`\(x\)-`value. The lower limit of integration
`(\(a\))` and the upper limit of integration
`(\(b\))`define the interval over which we integrate to find the total volume. The question lacks these crucial details, preventing us from providing a more precise answer.

In mathematical contexts,
`\(A(x)\)` is often a function representing the cross-sectional area of a solid, and the integral is used to sum up these areas to find the total volume. Therefore, to proceed with the calculation, the function
`\(A(x)\)` and the interval
`\([a, b]\)` need to be specified.