       Re: Repeated Integrals

• To: mathgroup at smc.vnet.net
• Subject: [mg130843] Re: Repeated Integrals
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Mon, 20 May 2013 05:04:12 -0400 (EDT)
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```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 at 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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