cbicon.png CALCULUS Understanding Its Concepts and Methods

Home Contents Index

Line integral

Let C be the curve (x(t),y(t)), a ≤ t ≤ b, and f(x,y)  a scalar field such that f(x(t),y(t)) ≥ 0 for a ≤ t ≤ b.

The line integral MATHis the surface area of a curtain whose height is f(x(t),y(t)) above the point (x(t),y(t)).

The line integral can be evaluated by converting the it into an ordinary integral usingMATH


Let C be the space curve (x(t),y(t),z(t)), a ≤ t ≤ b,  and let f(x,y,z) be a scalar field.

The line integral MATH is given byMATH


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z


Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

Published by MacKichan Software, Inc. Home Contents Index Top of page Hosted by ziaspace.com