JEE Main & Advanced Mathematics Definite Integration Question Bank Properties of Definite Integration

  • question_answer
    If \[\int_{-a}^{a}{\sqrt{\frac{a-x}{a+x}}\,dx=k\pi ,}\] then \[k=\]  [AISSE 1986; SCRA 1986]

    A)                 \[-a\]    

    B)                 \[-2a\]

    C)                 \[2a\]   

    D)                 \[a\]

    Correct Answer: D

    Solution :

               Since \[\int_{-a}^{a}{\sqrt{\frac{a-x}{a+x}}dx=a\pi }\]                                 So comparing it with the given value, we get \[k=a\].


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