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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
16-26  Calculus – Differentiation and Integration
= + +
= + +
1
2 6
2
5 2
2
3 2
1
2
1
6
2
5
1
2
2
3
1
2
6 5 4 3 2
1
1
x x x x x
11
6
2
5
1
2
2
3
1
2
4
15
+ +
=
And
M y f x y dA xy y dy dx
xy y
x
R
x
=
∫∫
= +
∫∫
= +
( , ) ( )
2
0
1
1
1
2 3
2
2 3

=
+
= +
0
1
1
1
2 2 2 3
1
1
2
1
2
1
3
1
6
2 3
x
dx
x x x
dx
( ) ( )
(
xx x x x x x dx
x
x
x
x x x
+ +
= + + +
6 6 6 3 2
1
6
2
3
2
2
3
2
6
5 2
2 3 4 5 6
1
1
2
3
4 5 6
)
22
7
1
6
2
3
2
2
3
2
6
5
1
2
2
7
2
3
2
2
3
2
6
5
1
2
7
1
1
x
= + + + + + +
−−
=
2
7
32
105
=
( , ) , .x y
1
2
4
7
16.4.4 Moment of Inertia
We know that the moment of inertia of a particle with mass m about an axis is defined as md
2
, d being
the ...
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Publisher Resources

ISBN: 9789353948221