anonymous
  • anonymous
Evaluate the limit
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[I= \int\limits_{}^{} x^2 \ln (x^2)dx\]
myininaya
  • myininaya
limit? or integral?
anonymous
  • anonymous
haha oh integral... used to saying limit

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myininaya
  • myininaya
Use that ln(x^2)=2 ln(x) Then use integration by parts.
anonymous
  • anonymous
okay I'll try that thanks
myininaya
  • myininaya
\[\int\limits_{}^{}fg'=fg- \int\limits f' g\] 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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