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Calculus: Differentiation and Integration, 1st Edition
book

Calculus: Differentiation and Integration, 1st Edition

by ICFAI
April 2024
Intermediate to advanced content levelIntermediate to advanced
710 pages
20h 50m
English
Pearson India
Content preview from Calculus: Differentiation and Integration, 1st Edition
16-6  Calculus – Differentiation and Integration
2. ( ( , ) ( , )) ( , ) ( , ) .f x y g x y f x y dA g x y dA
RRR
± = ±
∫∫∫∫∫∫
3. f x y dA f x y R
R
( , ) ( , )
∫∫
0 0if on .
4. f x y dA g x y dA f x y g x y R
R R
( , ) ( , ) ( , ) ( , )
∫∫
∫∫
if on .
5. f x y dA f x y dA f x y dA
R R R
( , ) ( , ) ( , ) .
∫∫
=
∫∫
+
∫∫
1 2
This holds when R is the union of two non-overlapping rectangles R
1
and R
2
.
Remark 16.1 The problems we are going to solve by integrating functions of two and three
variables are similar to the problems solved by single-variable integration. While solving the
problems we perform the necessary calculations by drawing our experience with functions of a
single variable. We shall see how
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Publisher Resources

ISBN: 9789353948221