Ask Question
5 July, 15:24

How do I find this? ∫ ((e^x) / (2+e^x)) dx

Answers (1)
  1. 5 July, 16:37
    Use u-substitution where u = 2+e^x

    and since the derivative of e^x is e^x,

    du = e^x

    so in terms of 'u' the integral is

    ∫ (1/u) du (since the contents of u are on the bottom and the contents of du are on top)

    and the integral of 1/u = ln (u) + C, so put x back into the equation using u's value

    ln (u) + C = ln (2+e^x) + C

    (C doesn't change because it just represents an unknown constant)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “How do I find this? ∫ ((e^x) / (2+e^x)) dx ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers