IIT JEE 2006 Paper : MATHEMATICS Section III - Comprehension Passage 3
Each question below has only one correct answer.
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We can approximate definite integral as
|f (x) dx = (½)(c − a)[ f (a) + f (c) ] + (½)(b − c)[ f (b) + f (c) ] for some c ∈ (a, b)
|So, for c = (½)(a + b) ,
|f (x) dx = (¼)(b − a)[ f (a) + 2f (c) + f (b) ] |