anonymous
  • anonymous
the indefinite integral of (x)e^(x^2)
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\int\limits_{}^{}xe ^{x ^{2}}\]\[u=x^2\]\[du=2x\]\[\frac{ du }{ 2 }=xdx\]Now that we have made a substitution, we can now evaluate our new integral with respect to u.\[\frac{ 1 }{ 2 }\int\limits_{}^{}e^udu\]Can you go from there? :)
anonymous
  • anonymous
can you continue from there please:)
anonymous
  • anonymous
Do you know \[\int\limits_{}^{}e^udu\]

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anonymous
  • anonymous
e^u right?
anonymous
  • anonymous
+C
anonymous
  • anonymous
awesome thank you so much.
anonymous
  • anonymous
So now plug back in your U and don't forget the 1/2 at the begining ;) Medal? :)
anonymous
  • anonymous
yepp!
anonymous
  • anonymous
so how would i solve the integral of xe^x
anonymous
  • anonymous
Integration by parts

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