Q. 5. Compute
the approximate value of the integral (Jan.
2001)
I = (1
+ x3) dx
using Simpson's rule by taking interval size h as 1.
Solution.
| x
|
1 |
2 |
3
|
| y
= (1 + x3) |
2 |
9 |
28
|
y
dx = (1/3) X [(2 + 28) + (4 X 9)]
or y
dx = 22
Q. 6. Compute the approximate value of the
integral (June 2000)
I =(3x2
+ 2x) dx
using Simpson's rule by taking interval size h as
1.
Solution.
| x
|
1 |
2 |
3
|
| y
= (3x2 + 2x) |
5 |
16 |
33
|
y
dx = (1/3) X [(5 + 33) + (4 X 16)]
or y
dx = 34
|
