Find the indefinite integral. \int \frac{e^{x}dx}{1+e^{x}}

Kye

Kye

Answered question

2021-11-05

Find the indefinite integral.
exdx1+ex

Answer & Explanation

Nathaniel Kramer

Nathaniel Kramer

Skilled2021-11-06Added 78 answers

Step 1
Given integral,
exdx1+ex
Step 2
Now solving the given integral,
Let 1+ex=u
exdx=du
Now integral
1udu=ln(u)+C
=ln(1+ex)+C
Step 3
Final answer:
exdx1+ex=ln(1+ex)+C

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