amiright? integrate: ((e^(2x)) / e^x

cant i treat that at ((e^(2x)) * e^(-x) which would just simplify to e^x???

Question

amiright?  integrate: ((e^(2x)) / e^x

cant i treat that at ((e^(2x)) * e^(-x)  which would just simplify to e^x???

anonymous · Answer

and even I can integrate e^x

anonymous · Answer

hehe o please help...i'm dying here

anonymous · Answer

yes , you are completely right because we subtract powers in division , and don't forget to write C (constant of integration) I often forget it :(

turingtest · Answer

yes and yes

anonymous · Answer

yay me...that question has stumped me for a week

turingtest · Answer

$$\int e^xdx=e^x+C$$$$\frac d{dx}e^x=e^x$$so those are pretty easy to remember ;)

anonymous · Answer

luckily no need for c the real question is does that converge or diverge and since e^x heads for infinity I can say diverge with more than my usual 50/50 chance of getting it right 

thanks all

turingtest · Answer

if it's$$\int_{a}^{\infty}e^xdx$$or any integral over +/-infinity of e^x like that, yeah, it diverges

turingtest · Answer

sorry, NOT if it's negative infinity

turingtest · Answer

$$\int_{-\infty}^{a}e^xdx$$converges

anonymous · Answer

ah good point - i will keep an eye out for that on the test tomorrow...all of our practice questions have been positive though so that would be cruel

turingtest · Answer

good luck!

anonymous · Answer

good luck with your Exam :)