Talk:Calculus/Integration

I'm thinking that maybe line integrals and integrals that concern the summing of a function in an area or volume ( ie, distinct from integrals that calculate an area or volume ) should be included under applications?

to illustrate, say a metal plate ( of arbitrary length and width, with its lower left corner on 0,0 ) is electrostatically charged with a distribution governed by P= x^2 + Y^2. An area integral ( of the sort I am proposing be included ) could be used to sum the total charge present on the plate.

If agreement is reached I would be happy to write a brief explanation for the text.


 * Line integrals should not be introduced until the multivariable part of the book. It involves parametric representation and that comes after integration techniques so it should not go here.  And, they are already introduced in that portion of the book in a section that is way too long. NumberTheorist (talk) 03:26, 1 March 2010 (UTC)

Order of topics
I changed the order of topics from to I think the new order motivates the discussion of indefinite integrals better. We start out with a practical problem, finding the area under a given function. Then we introduce the Fundamental Theorem of Calculus, which tells us that we can use antiderivatives to easily compute definite integrals. This gives us a reason to want to study how to find antiderivatives. The remaining topics in the Integration section deal with how to find increasingly complex antiderivatives. --Greenbreen (discuss • contribs) 17:20, 3 June 2011 (UTC)
 * 1) Indefinite integral
 * 2) Definite integral
 * 3) Fundamental Theorem of Calculus
 * 1) Definite integral
 * 2) Fundamental Theorem of Calculus
 * 3) Indefinite integral