How can Fubini's Theorem be applied to solve more complex integrals?

[johnny.wi]

I am really stuck on this and can't find any information or examples on it. My textbook has one example in it and it isn't explained at all. It is the following?

∫B{s}ds

integrated From 0 to t.It is then changed to a double integral and fubinis theorem is applied to arrive at the solution by changing the limits of integration and odrer of integration, with no explanation as to the method.


This is easy to solve with integration by parts, but i am trying to figure out how to use fubinis theorem and how to change the limits of integration so i can apply the method to some more elaborate integrals.
I already now the anser and that it is normally distributed, i am inerested in the application of fubinis theorem and not integration by parts.

 

[SW VandeCarr]

I am really stuck on this and can't find any information or examples on it. My textbook has one example in it and it isn't explained at all. It is the following?

∫B{s}ds

integrated From 0 to t.It is then changed to a double integral and fubinis theorem is applied to arrive at the solution by changing the limits of integration and odrer of integration, with no explanation as to the method.


This is easy to solve with integration by parts, but i am trying to figure out how to use fubinis theorem and how to change the limits of integration so i can apply the method to some more elaborate integrals.
I already now the anser and that it is normally distributed, i am inerested in the application of fubinis theorem and not integration by parts.

Perhaps this might help:

http://math.stackexchange.com/questions/83239/application-of-fubinis-theorem