Integral of the quotient of sums of exponentials: ![]()
We need to try a substitution. Our strategy is to substitute u for the denominator in the hopes that the remainder of the integrand will provide du, except for a constant.
Let
. Then
.
Upon substitution of these results, we get
![]()
Hence, we can use the integral resulting in ln:
![]()
.
Finally, we substitute for u to get the result in terms of x:
![]()