Change the order of integration in the integral dx +VI-y 1-VI-y (x-2x+y-3) I= and hence evaluate it.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Change the order of integration in the integral
dx
I=
1-1
(x- 2x+y-3)a
and hence evaluate it.
dake veihcal smp
Now we
* vas hom Ob 2.
NOW
and
from
varus
1- (x1)* to o.
du
ody
2.
du
dy
-2+)
|- (u4 -1)2
olu
(-2 +1)
(x*-2u + 1- (u+)*-3)- (m²_2u-3) dy
2
x* + 2u +3
x3
2u2
-4=
812
4
Transcribed Image Text:Change the order of integration in the integral dx I= 1-1 (x- 2x+y-3)a and hence evaluate it. dake veihcal smp Now we * vas hom Ob 2. NOW and from varus 1- (x1)* to o. du ody 2. du dy -2+) |- (u4 -1)2 olu (-2 +1) (x*-2u + 1- (u+)*-3)- (m²_2u-3) dy 2 x* + 2u +3 x3 2u2 -4= 812 4
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