Table of contents | |
Double Integrals | |
Solved Numericals (Double Integrals) | |
Triple Integrals | |
Solved Numericals (Triple Integrals) |
For continuous functions f(x, y) we have
Q1. Evaluate .
Solution:
Q2. Evaluate .
Solution:
Evaluation of Triple Integrals :
If the region R can be described by
then we evaluate triple integral as
Note: There are six possible ways in which a triple integral can be evaluated (order of variables of integration). We choose the one which is simple to use
Q1. Evaluate .
Solution:
…(Integrating w.r.t. z keeping x, y constants)
…(integrating w.r.t. y keeping x constant)
Q2. Evaluate .
Solution:
Q3. Evaluate .
Solution:
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1. What is the difference between double integrals and triple integrals in mechanical engineering? |
2. How are double integrals used in mechanical engineering applications? |
3. What are some common challenges faced when solving double and triple integrals in mechanical engineering problems? |
4. Can you provide an example of a practical application where triple integrals are used in mechanical engineering? |
5. How can engineers optimize the use of double and triple integrals in mechanical design processes? |
44 videos|101 docs|58 tests
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