e-x-dx-3-e-x-

Question Number 83104 by 09658867628 last updated on 28/Feb/20

\int \frac{e^{x} d x}{3 + e^{x}}

Answered by MJS last updated on 28/Feb/20

\int \frac{e^{x}}{3 + e^{x}} d x =

[t = e^{x} \to d x = \frac{d t}{e^{x}}]

= \int \frac{d t}{t + 3} = \ln (t + 3) = \ln (3 + e^{x}) + C

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