## kantalope 3 years ago amiright? integrate: ((e^(2x)) / e^x cant i treat that at ((e^(2x)) * e^(-x) which would just simplify to e^x???

1. kantalope

and even I can integrate e^x

2. kantalope

3. Avva

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 :(

4. TuringTest

yes and yes

5. kantalope

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

6. TuringTest

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

7. kantalope

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

8. TuringTest

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

9. TuringTest

sorry, NOT if it's negative infinity

10. TuringTest

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

11. kantalope

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

12. TuringTest

good luck!

13. Avva

good luck with your Exam :)