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Re: Are integral f(x) dx and integral f(y) dy same?

Subject: Re: Are integral f(x) dx and integral f(y) dy same?
From: Bob Kolker
Date: Fri, 20 Oct 2006 14:20:36 -0500
Newsgroups: sci.math
agentsolver wrote:

Thank you guys for your reply.


Let me ask you this: Is the function x -> x^2 the same as the
function y -> y^2?

Yes. The indefinite integral is a set of functions differing only by an additive constant. The variables x and y in this context are dummy variables, mere place holders.

Ask yourself this are the identities:

(x + a)^2 = x^2 + 2*a*x + a^2

(y + a)^2 = y^2 + 2*a*y + a^2

the same identity. The answer is yes.

The variables are just place holders.


Bob Kolker


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