An integral calculation involves finding the total area under a curve while a differential calculation involves finding the instantaneous rate of change of a function at a specific point.
Yes, in most cases, the order of integration and differentiation can be changed. This is known as the commutative property of integration and differentiation. However, there are some cases where the order cannot be changed.
Changing the order between integral and differential calculation can help simplify the problem and make it easier to solve. It can also provide a different perspective on the problem and lead to new insights and solutions.
Yes, there are some limitations to changing the order between integral and differential calculation. In some cases, the order cannot be changed and attempting to do so may lead to incorrect results.
The best way to determine when it is appropriate to change the order between integral and differential calculation is to practice and become familiar with different types of problems and their solutions. Consulting with a mathematics expert or utilizing resources such as textbooks and online tutorials can also be helpful.