CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2005

  • question_answer
    \[\int\limits_{\pi /4}^{\pi /2}{\cos e{{c}^{2}}x\,dx=}\]

    A)  -1                                          

    B)  1

    C)  0                                            

    D)  \[\frac{1}{2}\]

    Correct Answer: B

    Solution :

    \[\int_{\pi /4}^{\pi /2}{\cos e{{c}^{2}}x\,dx=[-\cot \,x]_{\pi /4}^{\pi /2}}\left( -\cot \frac{\pi }{2}+\cot \frac{\pi }{4} \right)\]\[=-[0-(1)]=1\]


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