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12th Class Mathematics Sample Paper Mathematics Sample Paper-8

  • question_answer
    Evaluate \[\int{{{x}^{x}}(1+\log \,x)\,\,dx.}\]

    Answer:

    We have, \[l=\int{{{x}^{x}}(1+\log \,\,x)\,dx}\] Put       \[{{x}^{x}}=t\] \[\Rightarrow \]   \[{{x}^{x}}(1+\log \,\,x)\,dx=dt\] \[\therefore \]      \[l=\int{dt=t+C={{x}^{x}}+C}\]


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