M120 Supplement  -  Area Between Two Curves

 

1.  Find the area bounded by the curves , the x-axis, and the vertical lines x = 1

            and x = 4.

 

2.  Use integration to find the area of the region bounded by the curve , the x-

            axis, and the lines x = 0 and x = ln 2.

 

3.  Find the area of the region bounded by the curves  and  

            between x = 0 and x =1.

 

4.  Find the area bounded by the curve  and the x-axis.

 

5.  Find the area of the region bounded by the curve  and the line

            .

 

6.  Find the area of the region bounded by the curves  and .

 

7.  Find the area of the region bounded by the curves  and  .

 

8.  Find the area of the region bounded by the curve  and the line y = x.

 

9.  Find the area bounded by the curves  and  and the lines x = 4 and x = 9.

 

 

 

 

 

 

SOLUTIONS.

1.  ¾	2.  3/8	3.  2  7/12	4.  4.5	5.  6.75
6.  2  2/3	7.  4/15	8.  8	9.  ~6.179