1. Dec 7, 2008

How can I solve the following integral:

x^(0.5)*exp(x)dx

Thanks.

2. Dec 7, 2008

### virus

use integration by parts

3. Dec 7, 2008

I tried but it gives me another integral that I can't solve:

x^(-0.5)*exp(x)dx

4. Dec 7, 2008

### Hootenanny

Staff Emeritus
Now use integration by parts again, but this time swap your variables around so that you are integrating x-0.5 and differentiating ex.

5. Dec 7, 2008

if I do it I recieve:

integral(x^0.5*exp(x))=integral(x^0.5*exp(x))

and it doesn't help me...

6. Dec 7, 2008

### Hootenanny

Staff Emeritus
Indeed it doesn't. In that case I would suggest I substitution of the form u=x0.5, followed by integration by parts. However, I will point out at this point that the integral probably cannot be written in terms of elementary functions and you will most likely have to make use of the error function.

7. Dec 7, 2008

I think that may help.

Thanks a lot.