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how do you integrate t times e to the negative t? (te^-t)?
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by parts
(te^-t) just and one to 1then put te over -t+1 te^-t+1/-t+1
\[t e ^{-1/}/-1 +\int\limits e^t dt\]
very carefully; you dont wana scare it
\[-t/e^t+ e^t +C\]
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parts is good ..... e^-t +t -e^-t -1 e^-t +0 ............. right?
-t e^-t + e^-t + C ??
so u=t? and dv=e^-t?
oh missed it :)
yes
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so is v=-e^-t?
\[\int\limits_{}^{}te^{-t}dt=-te^{-t}+\int\limits_{}^{}e^{-t}dt=-te^{-t}-e^{-t}+C\]
u=t, du=1 dv=e^-t, v=-e^-t
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 ;)
thanks i got it :)
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yay!!
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