How do you solve #\int \frac { e ^ { x } - 1} { e ^ { x } + 1} d x#?
2 Answers
The integral equals
Explanation:
By partial fractions:
We can write a system of equations.
Solving, we get
We can separate.
Let
We're going to use partial fractions again.
Write a system of equations
Solve to get
The expression becomes:
This can be readily integrated.
The logarithms can be combined.
Hopefully this helps!
Explanation:
With the substitution
This is equivalent to the other answer provided by HSBC244! Note that: