Question Detail
Question
∫eˣ/(eˣ+2+e⁻ˣ) dx
Correct Answer
Option D is the correct answer.
Detailed Explanation
Multiply through by eˣ: the denominator becomes (eˣ+1)². Substituting u=eˣ+1, du=eˣdx, the integral becomes ∫du/u² = -1/u = -1/(eˣ+1).
Hint
Multiply numerator and denominator by eˣ to turn the denominator into a perfect square.