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DHASHNI
 one year ago
Best ResponseYou've already chosen the best response.0let us consider e^x = t => st = e^x dx

wio
 one year ago
Best ResponseYou've already chosen the best response.0It's a simple \(u=e^x3,\, du=e^xdx\) substitution.\[ \int \frac{e^{2x}}{e^x3}dx = \int\frac{u+3}{u}du = \int 1 + \frac{3}{u}du \]

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Note: It's not "times" dx. There is no multiplication, there.

grobles27
 one year ago
Best ResponseYou've already chosen the best response.0Oh that's true. So which one of the answers is the correct way to solve then? Integration is a real struggle for me

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.1Well, you are supposed to be learning. A bit of difficulty should not be construed as a bad sign. Put in the time and thought. Looks like wio and DHASHNI already did most of the work for you. You do the rest.
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