Don't hide solutions.

1)

2)

3)

Printable View

- Oct 16th 2011, 11:49 AMRandom Variablemore integrals
Don't hide solutions.

1)

2)

3) - Oct 16th 2011, 01:34 PMRandom VariableRe: more integrals
Please don't give hints.

- Oct 17th 2011, 04:36 PMuniquesailorRe: more integrals
- Oct 18th 2011, 12:46 AMFernandoRevillaRe: more integrals
We have , so the following function is well defined (by means of a convergent integral):

Then

Using the substitution :

Using the substitution :

Integrating both sides:

For we have that is, . Then, .

As a consequence:

- Dec 5th 2011, 01:10 AMsimplependulumRe: more integrals
Consider , we have

so the answer is - Mar 5th 2012, 12:19 AMsbhatnagarRe: more integrals