Homework Soursewhere R 02 X 03Solutionx varies from 0 to 2 Hence if m4 4 s
where R = (0,2) X (0,3)
Solution
x varies from 0 to 2.
Hence if m=4, 4 subdivisions would be at x = 0, 0.5, 1, 1.5, 2
Midpoints would be x = 0.25, 0.75, 1.25, 1.75
Similarly for y, y = 0,1,2,3
Mid points =0.5, 1.5, 2.5
Hence answer is 34.875
| y/x | 0.25 | 0.75 | 1.25 | 1.75 | |
| 0.5 | 1.5625 | 2.0625 | 3.0625 | 4.5625 | 11.25 |
| 1.5 | 4.5625 | 5.0625 | 6.0625 | 7.5625 | 23.25 |
| 2.5 | 7.5625 | 8.0625 | 9.0625 | 10.5625 | 35.25 |
| 13.6875 | 15.1875 | 18.1875 | 22.6875 | 69.75 | |
| Area of each cell = | 0.5(1) | 0.5 | |||
| Integral value | 69.75(0.5) | ||||
| 34.875 |
