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

Read the documentation for Integrateh[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 duringthe N repetitions: a, b, w, or some combination of them? Presumaby youwould use f[a,b,w] inside a Table perhaps flattening (Flatten) the Tableresults if you prefer the output as a list rather than a matrix. Read thedocumentation for Table and Flatten.sol = Table[f[a, b, w], {a, 2}, {b, {b1, b2, b3}}, {w, 1, 5, 2}] // FlattenUsing a capital letter for a user-defined function (e.g., L) or startingthe name of a user-defined function with a capital letter is notrecommended.This could result in a conflict (now or in a future version)with a built-in Mathematica name or function.Bob HanlonOn 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?>>>
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