Date: May 20, 2013 5:03 AM
Author: Bob Hanlon
Subject: Re: Repeated Integrals

Read the documentation for Integrate

h[x_, a_] = Integrate[L[y, a] g[y], {y, 0, x}];

f[a_, b_, w_] = Integrate[L[x, b] h[x, a], {x, 0, w}];

It is not clear what you want to change and how they are to change during

the N repetitions: a, b, w, or some combination of them? Presumaby you

would use f[a,b,w] inside a Table perhaps flattening (Flatten) the Table

results if you prefer the output as a list rather than a matrix. Read the

documentation for Table and Flatten.

sol = Table[f[a, b, w], {a, 2}, {b, {b1, b2, b3}}, {w, 1, 5, 2}] // Flatten

Using a capital letter for a user-defined function (e.g., L) or starting

the name of a user-defined function with a capital letter is not

recommended.This could result in a conflict (now or in a future version)

with a built-in Mathematica name or function.

Bob Hanlon

On Sun, May 19, 2013 at 5:47 AM, <briankolo@gmail.com> wrote:

> I'm fairly new to Mathematica and I'm trying to create an expression for a

> set of nested integrals. The innermost integral is

>

> int[0,x,L(y,a)g(y),dy]

>

> Where g(y) is an arbitrary function and a is a parameter. The next

> integral is

>

> int[0,w,L(x,b)h(x,a),dx]

>

> Where b is a parameter and h(x,a) is the result of the previous integral.

>

> The process then repeats N times. Is there a simple way to express this in

> Mathematica?

>

>

>