Mathematics I
6 Applications of Integration
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Notes
1
Introduction
2
Revision
3
Vectors in 2-space and 3-space
4
Differentiation
5
Integration
6
Applications of Integration
7
Differential Equations
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Chapter 6
Applications of Integration
6.1
Finding areas
6.1.1
Area between two curves
6.1.2
Basic Derivation of Area Formula
6.2
Volumes of Revolution
6.3
Centroids (First moment of area)
6.3.1
First moment of the area about the
y
axis
6.3.2
First Moment of the area about the
x
axis
6.3.3
Centroid of a plane area
6.3.4
Meaning of the centroid
6.4
Second Moment of Area
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