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bmelyk
 3 years ago
Find the indefinite integral:
bmelyk
 3 years ago
Find the indefinite integral:

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bmelyk
 3 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{?}^{?}\frac{ e^{y} }{ 2e^{y} } dy\]

bmelyk
 3 years ago
Best ResponseYou've already chosen the best response.0i know i'll be using substitution.

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.0Let\[u=2e^y\]then\[du=?\]

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.0\[u=2e^y\implies du=e^ydy\implies e^ydy=du\]so what is the integral now?

bmelyk
 3 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{?}^{?} 1/du du\]

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.0how did you get two du's ?

bmelyk
 3 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{e^y}}^{2e^{y}} e^{\]

bmelyk
 3 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{} \frac{ e^{y} }{ 2e{y} } e^{y}\]

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.0where is the other e^y coming from?

bmelyk
 3 years ago
Best ResponseYou've already chosen the best response.0is the answer ln2e^y+c?

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.0you dropped the negative sign, but aside from that the answer is correct
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