# Find the integral

1. Jun 26, 2008

### jimen113

1. The problem statement, all variables and given/known data

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

2. Relevant equations
using the formula: integral e^x dx:e^x+C

3. 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

2. Jun 26, 2008

### Dick

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

3. Jun 26, 2008

### HallsofIvy

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!

2. Relevant equations
using the formula: integral e^x dx:e^x+C

3. 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]

4. Jun 26, 2008

### jimen113

thanks!!

5. Jun 26, 2008

### jimen113

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