1. Denote the unit circle as R for the double integral . 2. Where double integral into a single integral. 3. The above is found by computing the following double integral using the unit surface element in spherical coordinates: 4. A double integral , on the other hand, is defined with respect to area in the-plane. 5. The RW solution consists of two double integrals , while the CW response solution consists of three triple integrals. 6. Informally all these conditions say that the double integral of " f " is well defined, though possibly infinite. 7. On the other hand, some conditions ensure that the two iterated integrals are equal even though the double integral need not exist. 8. Can I use a double integral when I add, subtract, multiply, divide, etc . the same number on both sides? 9. The mutual inductance by circuit " i " on circuit " j " is given by the double integral " calculation techniques 10. We now integrate this expression for ? between 0 and ? and l between 0 and 1 ( note that this is a double integral ).