Question

Need help with this integration by parts question. The answer I gave, which is in the gray box, is wrong.

Answer 1

so you're integrating x^2e^-x from 0 to x.

Answer 2

nvm

Answer 3

@LollyLau, that is what I integrated for

Answer 4

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 \[\left(-x^2e^{-x}-2xe^{-x}-2e^{-x}\right|_0^a=-a^2e^{-a}-2ae^{-a}-2e^{-a}+2\]

Answer 5

shouldn't your answer be in terms of a

Answer 6

Thanks Imperialist and Zarkon, you're both gentlemen and scholars. I attached the screenshot of the right answer.