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KatClaire

  • 3 years ago

Evaluate the limit

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  1. KatClaire
    • 3 years ago
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    \[I= \int\limits_{}^{} x^2 \ln (x^2)dx\]

  2. myininaya
    • 3 years ago
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    limit? or integral?

  3. KatClaire
    • 3 years ago
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    haha oh integral... used to saying limit

  4. myininaya
    • 3 years ago
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    Use that ln(x^2)=2 ln(x) Then use integration by parts.

  5. KatClaire
    • 3 years ago
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    okay I'll try that thanks

  6. myininaya
    • 3 years ago
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    \[\int\limits_{}^{}fg'=fg- \int\limits f' g\] Choose the function you take the antiderivative of to be x^2 Choose the function you take derivative of to be ln(x) At the end don't forget to bring that constant multiple 2 down :)

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