Question Detail
Question
∫eˣ/(1-eˣ) dx
Correct Answer
Option A is the correct answer.
Detailed Explanation
Let u=1-eˣ, du=-eˣdx. The integral becomes -∫du/u = -ln|u| = -ln|1-eˣ|.
Hint
Substitute u=1-eˣ so that du matches the numerator up to a sign.