The Dominican Center holds a beautiful chapel. The smaller pews in the front face each other so that the people could sing face to face. The arches of the ceiling were designed so that voices would be echoed and microphones and speakers would not be needed.

**Problem:**

1. The area occupied by one long pew in the Dominican Center chapel is represented by the region bounded by the function f(x)=14 and the x-axis between the interval [0,122]. In order to find the area of a single long pew, use integration to find the area between both curves.

2. If there is a total of twenty-two long pews in the chapel, what is the total area of all the long pews together?

3. The area of one small pew in the Dominican Center chapel is represented by the region bounded by the function f(x)=16.5 and the x-axis between the interval [0, 23.5]. In order to find the area of a single small pew, use integration to find the areas between both curves.

4. If there is a total of one hundred thirty-six small pews in the chapel, what is the total area of all the small pews together?

5. What is the total area of all the pews?

Finding the Area with Integrals Worksheet and Solution | |

File Size: | 426 kb |

File Type: |