GATE (TF) Textile 2007 Question Paper Solution | GATE/2007/TF/27

Question 27 (Textile Engineering & Fibre Science)

The following table gives the values of a function $f(x)$ at points $x_j$ in $[0,1]$ , where $j$ represents the index of the point in the given interval

$j$	$x_j$	$f(x_j)$
1	0.0	1.000
2	0.1	0.990
3	0.2	0.961
4	0.3	0.914
5	0.4	0.852
6	0.5	0.779
7	0.6	0.698
8	0.7	0.613
9	0.8	0.527
10	0.9	0.445
11	1.0	0.368

The value of the integral $\int_{0}^{1}f(x)dx$ using the Simpson’s rule is

(A)	0.5469
(B)	0.6469
(C)	0.7469
(D)	0.8469

[Show Answer]

Option C is correct.

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