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 $ .