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Calculus1 19 Online
OpenStudy (anonymous):

xdx/(e^(3x)^2+4)

OpenStudy (anonymous):

is it \[e^{(3x)^2}+4\]

OpenStudy (anonymous):

kind of lost are you looking for the derivative?

OpenStudy (anonymous):

OpenStudy (anonymous):

got it! you want \(u=3x^2, du=6xdx\)

OpenStudy (anonymous):

i meant \(u=3x^2+4\)

OpenStudy (anonymous):

then you get \[\frac{1}{6}\int \frac{du}{e^u}\]

OpenStudy (anonymous):

you good from there?

OpenStudy (anonymous):

\[\frac{1}{6}\int e^{-u}du=-\frac{1}{6}e^{-u}\] and then \[-\frac{1}{6}e^{-3x^2-4}\] or \[\frac{1}{6e^{3x^2+4}}\]

OpenStudy (anonymous):

Thank you. I think I begin to understand.

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