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Mathematics 14 Online
OpenStudy (anonymous):

another cal question

OpenStudy (anonymous):

\[\int\limits_{?}^{?}e ^{ax+b}\]

OpenStudy (anonymous):

the power is ax+b

OpenStudy (anonymous):

\[\int e^{ax} e^bdx = e^b\int e^{ax}dx\]

OpenStudy (anonymous):

\[e^b\] is a constant, comes right out front

OpenStudy (anonymous):

so would you mutliply the inside/outside by a and 1/a

OpenStudy (anonymous):

and let u = ax

OpenStudy (anonymous):

yes that will do it

OpenStudy (anonymous):

\[u=ax, du =adx, \frac{1}{a}du = dx\] get \[\int e^{ax}dx =\frac{1}{a}e^{ax}\] pretty much in your head

OpenStudy (anonymous):

ok thats what i got thanks

OpenStudy (anonymous):

yw

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