IIT JEE 2006 Paper : MATHEMATICS Section III - Comprehension Passage 3
Each question below has only one correct answer.
In the IIT-JEE, you will be awarded 5 marks for each correct answer and −2 for each incorrect answer.
You will be awarded 0 marks for not attempting a question.
We can approximate definite integral as
| b ∫ a |
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) , |
b ∫ a |
f (x) dx = (¼)(b − a)[ f (a) + 2f (c) + f (b) ] |