2. Sample Papers
  3. JEE Main & Advanced

JEE Main & Advanced Sample Paper JEE Main Sample Paper-2

  • question_answer
    Let \[\phi (x)=\int\limits_{0}^{x}{{{\cos }^{3}}xdx}\]. The function \[\phi (x)\] is

    A)  increasing \[[0,\,\pi ]\]

    B)  increasing in \[\left[ 0,\frac{\pi }{2} \right]\]

    C)  decreasing in \[[0,\,2\pi ]\]

    D)  decreasing in \[\left[ -\frac{\pi }{2},\,\frac{3\pi }{2} \right]\]

    Correct Answer: B

    Solution :

    \[\phi '(x)={{\cos }^{3}}x\ge 0\] in \[\left[ 0,\,\frac{\pi }{2} \right]\]


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