-
Using the trapezoidal rule, and dividing the interval of integration into three equal subintervals, the definite integral
is_____ .
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- 1.2458
- 1.1111
- 1.2451
- 1.3256
Correct Option: B
∫+1-1|x|dx
Let y = |x|
n = no. of subintervals = 3
| h = | = | = | |||
| n | 3 | 3 |
Values of x are,
| -1, -1 + | , 1 + 2 |  |  | , - 1 + 3 | | | |||
| 3 | 3 | 3 |
= ∫xnx0 f(x) dx = h/2[y0 + yn + 2 (y1 + ..... + yn-1)]
 | |x| dx = |  | (1 + 1) + 2 | | + | |  | |||
| 3 | 3 | 3 |
| = | | 2 + | | | | = | × | = | = 1.1111 | |||||
| 3 | 3 | 3 | 3 | 9 |
