# Find the integral

## Homework Statement

Integral e$$^{}x$$$$\sqrt{}1+e^{}x$$ dx

## Homework Equations

using the formula: integral e^x dx:e^x+C

## The Attempt at a Solution

I tried basic substitution:
making u=sqrt 1+e^x, and when trying to find du I'm not sure on what to do next

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Dick
Homework Helper
Just try u=(1+e^x). I think you'll find it goes more simply.

HallsofIvy
Homework Helper

## Homework Statement

Integral e$$^{}x$$$$\sqrt{}1+e^{}x$$ dx
Do you mean
$$\int e^x\sqrt{1+ e^x}dx$$

If so just u= 1+ ex is sufficient.

(Put your "x" inside the "{ }" in tex!

## Homework Equations

using the formula: integral e^x dx:e^x+C

## The Attempt at a Solution

I tried basic substitution:
making u=sqrt 1+e^x, and when trying to find du I'm not sure on what to do next[/QUOTE]

thanks!!

Solved:
2/3 sqrt(1+e^x)^3