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Mathematics 16 Online
OpenStudy (anonymous):

calc! antiderivative

OpenStudy (anonymous):

OpenStudy (anonymous):

mental u sub

OpenStudy (anonymous):

its just e^-x + constant right?

OpenStudy (anonymous):

if it was just \(e^x\) the answer would be \(e^x\) but since it is \(e^{-x}\) the answer is \(-e^{--x}\)

OpenStudy (anonymous):

you have to adjust for the minus sign

OpenStudy (anonymous):

oh right

OpenStudy (anonymous):

oops typo \[\huge -e^{-x}\]

OpenStudy (anonymous):

c-e^-x?

OpenStudy (luigi0210):

Yea, set \( u=-x\) which gives you \(u=-dx\) So: \(\Large -\int e^u ~du\)

OpenStudy (luigi0210):

Just to give a little more detail ^

OpenStudy (anonymous):

so the antiderivative is c-e^-x?

OpenStudy (anonymous):

yes if you want to put the stupid C first

OpenStudy (anonymous):

ok thanks lol

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