JEE Main & Advanced Mathematics Indefinite Integrals Question Bank Fundamental Integration

  • question_answer
    \[\int_{{}}^{{}}{\sqrt{1-\sin 2x}\ }dx=........,\ \ x\in (0,\ \pi /4)\] [MP PET 1987]

    A)            \[-\sin x+\cos x\]

    B)            \[\sin x-\cos x\]

    C)            \[\tan x+\sec x\]

    D)            \[\sin x+\cos x\]

    Correct Answer: D

    Solution :

               \[\int_{{}}^{{}}{\sqrt{1-\sin 2x}}\,\,dx\]                    \[=\int_{{}}^{{}}{(\cos x-\sin x)dx=\sin x+\cos x+c.}\]


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