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mrcleanhands
Is there any rule of thumb for which variable should be integrated first?, i.e. to make the whole process of double integration easier.
The rule of thumb for determining the order of a double integral is to count the number of variables in the integrand. This will give you the order of the integral, which corresponds to the number of nested integrals needed to evaluate it.
The order of a double integral determines the number of nested integrals needed to evaluate it. The higher the order, the more complex the evaluation process becomes.
No, the order of a double integral is determined by the number of variables in the integrand and cannot change during the evaluation process.
If you encounter a double integral with a high order, you can often simplify it by using properties of integration, such as symmetry or change of variables. It may also be helpful to break the integral into smaller parts and evaluate them separately.
Yes, there are some integrals with special properties that may not follow the rule of thumb for determining the order. These cases often require a different approach to evaluate the integral.