[0/4.76 Points] DETAILS MY NOTES LARCALC12 14.3.055.MI. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER The population density of a city is approximated by the model f(x, y) = 4,000e-0.01(x² + y²) for the region x² + y² ≤ 25, where x and y are measured in miles. Integrate the density function over the indicated circular region to approximate the population of the city. (Round your answer to the nearest whole number.)