Ask your own question, for FREE!
Mathematics
OpenStudy (anonymous):

how do you find the integral of (e^2x) / (1+(e^2x))^2 ?

OpenStudy (anonymous):

\[\int\limits \frac{e^{2 x}}{\left(1+e^{2 x}\right)^2} \, dx=-\frac{1}{2 \left(1+e^{2 x}\right)}+c \]

OpenStudy (anonymous):

i got an extra (1+e^2x) on the denominator...

OpenStudy (anonymous):

use u substitution. let u = 1+ e^2x ---> du= 2e^2xdx or 1/2du = e^2xdx

OpenStudy (anonymous):

then you have the integral of 1/u^2

OpenStudy (anonymous):

or 1/2 times that integral

OpenStudy (anonymous):

i used the formula for (u^n+1) / (n+1) + c .... did i use the formula correctly?

OpenStudy (anonymous):

once you do the substitution then yes

OpenStudy (anonymous):

oh! now i get what i did wrong....

OpenStudy (anonymous):

int[u^(-2)] is -u^(-1)

OpenStudy (anonymous):

thanks!

OpenStudy (anonymous):

no prob

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
LaylaSanaii: Which best describes the role of a secondary consumer in a food web?
3 minutes ago 0 Replies 0 Medals
exklusiveyanna: \frac{f+3}{12}=\frac{7}{2} cross multiplying
21 minutes ago 0 Replies 0 Medals
Mikaela1509: why are minerals found where they are on earth?
19 minutes ago 3 Replies 0 Medals
blaccpanda2: Hey everyone Im Sexzy
5 minutes ago 4 Replies 0 Medals
axie: Does anyone here do welding? I need help on an asignment.
1 hour ago 6 Replies 0 Medals
Joe348: HAPPY BIRTHDAY @Allison ;-;
55 minutes ago 85 Replies 9 Medals
karissafrazier: what is Oklahomas state song?
1 hour ago 6 Replies 0 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!