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Mathematics 18 Online
OpenStudy (anonymous):

integral of 4^3x dx

sam (.sam.):

\[\text{The integraL of }4^{3 x}\text{ is }\frac{4^{3 x}}{3 \ln (4)}\text{}\] \[\frac{4^{3 x}}{3 \ln (4)}+c\]

OpenStudy (anonymous):

WOuld you by any chance explain it to me to understand better?

sam (.sam.):

Let u=3x dx=(du)/(3) then, integrate.. (4^(u))/(3)/(ln(4))+C ((64)^(x))/(3)+C

OpenStudy (anonymous):

\[\frac{d}{dx} b^x=b^x\ln(b)\] work backwards

OpenStudy (experimentx):

e^y = 4 or y = ln 4 4^3x = e^(ln4)3x

OpenStudy (anonymous):

\[\int b^xdx=\frac{b^x}{\ln(b)}\]

OpenStudy (experimentx):

i guess it would be pretty much the same.

sam (.sam.):

yeah, and (64)^(x)/(3lnx)+C

OpenStudy (anonymous):

thank you

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