These were posted on another forum.

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- Feb 25th 2011, 01:09 AMRandom Variableindefinite integrals (lots of them)
These were posted on another forum.

1)

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12) - Feb 25th 2011, 01:30 AMProve It
- Feb 25th 2011, 01:50 AMTheCoffeeMachine
- Feb 25th 2011, 01:58 AMProve It
.

Make the substitution and the integral becomes

. - Feb 25th 2011, 08:21 AMRandom VariableQuote:

Surely an MHF Expert knows to only post 2 questions per thread...

- Feb 25th 2011, 08:58 AMProve It

Let and the integral becomes

.

Now let and the integral becomes

.

This can probably be simplified more using logarithmic equivalents, but I think this is sufficient... - Feb 25th 2011, 09:04 AMRandom Variable
3)

let

so

- Feb 25th 2011, 10:36 AMTheEmptySet
4)

gives

- Feb 25th 2011, 11:50 AMTheEmptySet
6)

let

This gives

- Feb 25th 2011, 12:05 PMRandom Variable

let

let

- Feb 25th 2011, 12:11 PMTheEmptySet
5)

Integrate by parts with

and

This gives

- Feb 25th 2011, 02:56 PMTheCoffeeMachine
An altenative solution for #5:

- Feb 25th 2011, 09:51 PMTheCoffeeMachine