CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Integration by Substitution

∫exdx/ex+1

Question

$\int \frac{e^{x} d x}{e^{x} + 1}$

Open in App

Solution

$\int \frac{e^{x}}{e^{x} + 1} d x$
Let $e^{x} + 1 = z ⟹ e^{x} d x = d z$
$\int \frac{1}{z} d z$
$= ln | z | + c$
$= ln | e^{x} + 1 | + c$

Suggest Corrections

thumbs-up

0

Similar questions

\int \frac{e^{x}}{(1 + e^{x})} d x = l o g (1 + e^{x})

\int e^{x} \sqrt{1 + e^{x}} d x =

\int \frac{e^{x}}{1 + e^{x}} d x

I = \int \frac{e^{x}}{(1 + e^{x}) (2 + e^{x})} d x

\int \frac{e^{x}}{(1 + e^{x}) (2 + e^{x})} d x

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Integration by Substitution

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Integration by Substitution

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon