JCECE Engineering JCECE Engineering Solved Paper-2005

  • question_answer
    If\[f(t)\]is an odd function, then\[\int_{0}^{x}{f(t)}\,dt\]is:

    A)  an odd function

    B)  an even function

    C)  neither even nor odd

    D) \[0\]

    Correct Answer: B

    Solution :

    If \[f(t)\] is an odd function, then \[\int_{0}^{x}{f(t)}\,dt\] is an even function. Note: If \[f(t)\] is an even function, then \[\int_{0}^{x}{f(t)}\,dt\]is an odd function.


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