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Mathematics 13 Online
OpenStudy (anonymous):

how do you integrate t times e to the negative t? (te^-t)?

OpenStudy (anonymous):

by parts

OpenStudy (anonymous):

(te^-t) just and one to 1then put te over -t+1 te^-t+1/-t+1

OpenStudy (anonymous):

\[t e ^{-1/}/-1 +\int\limits e^t dt\]

OpenStudy (amistre64):

very carefully; you dont wana scare it

OpenStudy (anonymous):

\[-t/e^t+ e^t +C\]

OpenStudy (amistre64):

parts is good ..... e^-t +t -e^-t -1 e^-t +0 ............. right?

OpenStudy (amistre64):

-t e^-t + e^-t + C ??

OpenStudy (anonymous):

so u=t? and dv=e^-t?

OpenStudy (anonymous):

oh missed it :)

OpenStudy (amistre64):

yes

OpenStudy (anonymous):

so is v=-e^-t?

OpenStudy (anonymous):

\[\int\limits_{}^{}te^{-t}dt=-te^{-t}+\int\limits_{}^{}e^{-t}dt=-te^{-t}-e^{-t}+C\]

OpenStudy (anonymous):

u=t, du=1 dv=e^-t, v=-e^-t

OpenStudy (amistre64):

Lets see if this reverts back... Dt(-t e^-t + e^-t + C) t e^-t - e^-t e^-t (t-1) ... not quite, unless i forgot how to do that too ;)

OpenStudy (anonymous):

thanks i got it :)

OpenStudy (amistre64):

yay!!

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