JEE Main & Advanced Mathematics Definite Integration Question Bank Fundamental definite integration, Definite integration by substitution

  • question_answer
    \[\int_{\pi /4}^{\pi /2}{\text{cose}{{\text{c}}^{2}}xdx=}\]                                            [Karnataka CET 2005]

    A)                 \[-1\]    

    B)                 1

    C)                 0             

    D)                 \[\frac{1}{2}\]

    Correct Answer: B

    Solution :

                    \[\int_{\pi /4}^{\pi /2}{\text{cose}{{\text{c}}^{2}}}x\ dx=\left[ -\cot x \right]_{\pi /4}^{\pi /2}\] \[=-\left[ \cot \frac{\pi }{2}-\cot \frac{\pi }{4} \right]=1\].


You need to login to perform this action.
You will be redirected in 3 sec spinner