Given that the mass density of the region below is f(x,y)=1𝑓(𝑥,𝑦)=1, 

To determine the mass of a region where the mass density function \( f(x,y) = 1 \), we need to know the specific boundaries of the region. However, let's consider a few possible examples of regions to illustrate the process:

### Example 1: Rectangular Region
Suppose the region \( R \) is a rectangle defined by \( a \leq x \leq b \) and \( c \leq y \leq d \).

\[ M = \iint_R 1 \, dA \]

The integral becomes:

\[ M = \int_{a}^{b} \int_{c}^{d} 1 \, dy \, dx \]

Evaluating this, we get:

\[ M = \int_{a}^{b} \left[ y \right]_{c}^{d} \, dx = \int_{a}^{b} (d - c) \, dx \]

\[ M = (d -

Learn how to calculate the mass of a region using double integrals when the mass density function is constant (f(x,y) = 1). Explore examples and step-by-step solutions. Suitable for advanced college-level students.

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