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12th Class Mathematics Sample Paper Mathematics Sample Paper-5

  • question_answer
    Evaluate \[\int_{-1}^{1}{x|x|dx.}\]

    Answer:

    Let \[f(x)=x|x|.\] Then, \[f(-x)=-\,x|-\,x|\,\,=-x|x|\,\,=-f(x)\]       So, f(x) is an odd function. \[\therefore \]      \[\int_{-1}^{1}{x|x|dx.}=0\]


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