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BCECE Engineering BCECE Engineering Solved Paper-2011

  • question_answer
    If \[\int_{{}}^{{}}{\sqrt{1+\sin x}}.f(x)dx=\frac{2}{3}{{(1+\sin x)}^{3/2}}+C,\] then \[f(x)\] is equal to

    A) \[\cos x\]                              

    B)        \[\sin x\]               

    C)         \[\tan x\]                              

    D)         1

    Correct Answer: A

    Solution :

    According to the formula \[\int_{{}}^{{}}{{{f}^{n}}(x)f(x)dx=\frac{{{f}^{n+1}}(x)}{n+1}}+C\] \[f(x)\]should be equal to \[\cos x\]as\[\frac{d}{dx}(1+\sin x)=\cos x\]


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