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IIT JEE 2006 Paper : MATHEMATICS Section III - Comprehension Passage 3

Each comprehension passage contains 3 questions.
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) ]


Quiz Review
Multiple choice

Your Performance  

What is the approximate value of  
π/2

0
sin x dx ?

  π / √2

  (1 + √2)π

  (1 + √2)π / 2

  (1 + √2)π / 8

  Half-n-half Clue



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