- #1

Erbil

- 57

- 0

## Homework Statement

Questions are in picture.

## Homework Equations

$$ \int _{0}^{\infty }x^{n}e^{-x}dx $$ = $$ Gamma (n+1) = n!

$$ Gamma(P+1) $$ = $$Gamma(P)$$

$$ Gamma(P) = (1/P) $$Gamma(P+1)$$

## The Attempt at a Solution

2) I have found it from table.

3) I have used recursion and table to find it.

4) Again With recursion.

5) $$ \Gamma(0.7) $$ = 1/p(p+1) with this formula.

8) If $$ \ Gamma (p+1) $$ is equal to this integral,I think it can be written as $$ \ Gamma (2/3+1) $$ later we can found the value from table.Am I right?

Same logic again for 9,10?

But what next? How can I convert them to Gamma function?