Definite Integration Question 413

Question: $ \int _{\pi /4}^{\pi /2}{cose{c^{2}}xdx=} $

[Karnataka CET 2005]

Options:

A) $ -1 $

B) 1

C) 0

D) $ \frac{1}{2} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \int _{\pi /4}^{\pi /2}{cose{c^{2}}}x\ dx=[ -\cot x ] _{\pi /4}^{\pi /2} $

$ =-[ \cot \frac{\pi }{2}-\cot \frac{\pi }{4} ]=1 $ .



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