anonymous
  • anonymous
Need help with this integration by parts question. The answer I gave, which is in the gray box, is wrong.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
LollyLau
  • LollyLau
so you're integrating x^2e^-x from 0 to x.
LollyLau
  • LollyLau
nvm

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anonymous
  • anonymous
@LollyLau, that is what I integrated for
anonymous
  • anonymous
You almost had it. You got the correct antiderivative, \[-x^2e^{-x}-2xe^{-x}-2e^{-x}\] But you didn't answer the question, it wants the integral of the original function from x=0 to a. So you must do \[\left(-x^2e^{-x}-2xe^{-x}-2e^{-x}\right|_0^a=-a^2e^{-a}-2ae^{-a}-2e^{-a}+2\]
Zarkon
  • Zarkon
shouldn't your answer be in terms of a
anonymous
  • anonymous
Thanks Imperialist and Zarkon, you're both gentlemen and scholars. I attached the screenshot of the right answer.

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