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The problem involves determining the limits of integration for the shaded rectangular region in the graph.

Based on the graph:
1. The region spans from \( x = 1 \) to \( x = 2 \).
2. It spans from \( y = 0 \) to \( y = 1 \).

Thus, we can fill in the values as follows:

- \( a = 1 \)
- \( b = 2 \)
- \( c = 0 \)
- \( d = 1 \)

The double integral over this region, in terms of \( x \) and \( y \), can then be expressed as:
\[
\int_{1}^{2} \int_{0}^{1} \, dy \, dx
\]

Would you like more details on setting up or evaluating this integral?

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**Related Questions:**

1. How do you determine the limits of integration for other shapes, such as circles or triangles?
2. What does the result of the integral represent in terms of area or volume?
3. How would this integral change if the region were rotated or reflected?
4. Can the order of integration be reversed in this integral, and if so, how?
5. How would the integral be set up if the function inside were non-constant?

**Tip:** When setting up double integrals, always check if the limits align with the bounds shown in the region graph.

Determine the limits of integration for the shaded rectangular region in the graph and set up the double integral.

Learn how to determine the limits of integration for a double integral over a rectangular region. This problem uses concepts from calculus, specifically double integrals and integration limits, to set up the correct bounds for the given shaded area. Suitable for college calculus students.

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