1 / | | x | e | -------- dx | 2*x | 2 + e | / 0
Integral(E^x/(2 + E^(2*x)), (x, 0, 1))
Let .
Then let and substitute :
The integral of is .
Now substitute back in:
Add the constant of integration:
The answer is:
/ / ___ x\ | ___ |\/ 2 *e | | x \/ 2 *atan|--------| | e \ 2 / | -------- dx = C + -------------------- | 2*x 2 | 2 + e | /
/ 2 \ / 2 \ - RootSum\8*z + 1, i -> i*log(1 + 4*i)/ + RootSum\8*z + 1, i -> i*log(e + 4*i)/
=
/ 2 \ / 2 \ - RootSum\8*z + 1, i -> i*log(1 + 4*i)/ + RootSum\8*z + 1, i -> i*log(e + 4*i)/
Use the examples entering the upper and lower limits of integration.