Homework Help: Integral_0^1 x^p exp(-tx)

1. Jun 2, 2009

gkannan16

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

Integral_0^1 x^p exp(-tx)dx where p=3/4. 5/4 and 7/4

2. Relevant equations

Can somebody tell me the final solution and the detailed procedure to get the final solution for this.

3. The attempt at a solution

I tried using gamma distribution and integration by parts but nothing worked.

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

2. Relevant equations

3. The attempt at a solution

Last edited: Jun 2, 2009
2. Jun 2, 2009

Avodyne

This can be expressed in terms of the incomplete gamma function (see wikipedia), but otherwise cannot be done in closed form.