1.Estimate the area bounded by the curve y = 2x+ 2, the x-axis, the y-axis and the line x = 5 using the trapezium rule.
Make a table of values of x and y for y = 2x2+2 for x = 0 and x = 5.
| X | ||||||
| Y |
| Draw the curve y=2x2+2 |
| The estimated area under the curve is |
| = ½ X h X {sum of ends + middles} |
| = ½ X 1 {(2 + 52) + 2 (4 + 15 + 20 + 30 )} |
| = ½ X 1 (54 + 2 [ 68]) = |
| = ½ X sq. units |