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APPLICATION OF INTEGRATION II: SOLID REVOLUTION AND TRAPEZOIDAL RULE

ClassNotes Team 3 MIN READUPDATED 13 JUN 2026

FURTHER MATHEMATICS SSS2 THIRD TERM

WEEK 9

APPLICATION OF INTEGRATION II: SOLID REVOLUTION AND TRAPEZOIDAL RULE

Content

A solid which b has a central axis of symmetry is a solid of revolution. For example, a cone, a cylinder, a vase etc.

APPLICATION OF INTEGRATION II: SOLID REVOLUTION AND TRAPEZOIDAL RULE

APPLICATION OF INTEGRATION II: SOLID REVOLUTION AND TRAPEZOIDAL RULE

APPLICATION OF INTEGRATION II: SOLID REVOLUTION AND TRAPEZOIDAL RULE

APPLICATION OF INTEGRATION II: SOLID REVOLUTION AND TRAPEZOIDAL RULE

 1    0.67   0.5     0.4      0.33

Ex (2). Make a table of value of y  for which y = 2x2-1APPLICATION OF INTEGRATION II: SOLID REVOLUTION AND TRAPEZOIDAL RULE for which x =2 t0 x = 3 at interval of 0.2.

23dxx2-1APPLICATION OF INTEGRATION II: SOLID REVOLUTION AND TRAPEZOIDAL RULE

X

2

2.2

2.4

2.6

2.8

3

X2-1

3

3.84

4.76

5.76

6.84

8

x2-1APPLICATION OF INTEGRATION II: SOLID REVOLUTION AND TRAPEZOIDAL RULE

1.732

1.956

2.182

2.4

2.615

2.828

1x2-1APPLICATION OF INTEGRATION II: SOLID REVOLUTION AND TRAPEZOIDAL RULE

0.5754

0.5703

0.4583

0.4167

0.3824

0.3536

 

Using the rule.

23dxx2-1dxAPPLICATION OF INTEGRATION II: SOLID REVOLUTION AND TRAPEZOIDAL RULE