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Vector Integration-Integral Theorems

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VECTOR INTEGRATION
Relation between surface integral and volume integral
Relation between line integral and surface integral
Special case of Stokes’ theorem
VECTOR INTEGRATION
Statement:
VECTOR INTEGRATION
Physical significance of Stokes’ theorem
VECTOR INTEGRATION
Example 1.
Solution:
We have to verify
…..Continued
Example 1.
Solution:
VECTOR INTEGRATION
VECTOR INTEGRATION
Example 2.
Solution:
1. Find the equation of the plane
2. Evaluate the surface integral
Answer: -5
plane: 3x+6y+4z=12
VECTOR INTEGRATION
Example 3.
Solution:
…..Continued
VECTOR INTEGRATION
Example 3.
Solution:
Try yourself. Answer: 2π
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