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[INTEGRATION] Volume of Revolution JC MATHS SITCOMS

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Overview

How do we find the volume of solid upon rotation of curve about axis?

2. [INTEGRATION] Volume of Revolution

What happens when curve is rotated about the axis?

3. [INTEGRATION] Volume of Revolution

Can you find the volume of revolution of square root graphs?

4. [INTEGRATION] Volume of Revolution

Area bounded not by the axis? Between curves? How about the volume of revolution?

5. [INTEGRATION] Volume of Revolution

Put your skills to test! Can you solve this challenging question?

6. [INTEGRATION] Volume of Revolution

Question with area involving modulus function and volume of revolution

7. [INTEGRATION] Volume of Revolution

Summary of Volume of Revolution

8. [INTEGRATION] Volume of Revolution

Question with integration by substitution and volume of revolution

9. [INTEGRATION] Volume of Revolution

Volume of Revolution (x-axis)

10. [INTEGRATION] Volume of Revolution

y-axis

11. [INTEGRATION] Volume of Revolution

Between two graphs

12. [INTEGRATION] Volume of Revolution

Application Question

13. [INTEGRATION] Volume of Revolution

Between two graphs

14. [INTEGRATION] Volume of Revolution

Between two graphs

15. [INTEGRATION] Volume of Revolution

Sum of two volumes

16. [INTEGRATION] Volume of Revolution

Applications of Integration - Area & Volume