CIRCULAR COILS OF RECTANGULAR SECTION. 433 



4. In :, similar way it can 1* 8 | 1OWII t |, at 



tetween the given limits is equal to 



where, in this case 



and that 



between the given limits is equal to 



where, in this case, 



The result of integration can now be easily written out for integrations involving 

 higher powers of Y. 



5. Before proceeding with the integrations it is advisable to have prepared 

 beforehand a table giving 



and 



faftan-'^f/ic 

 .' x 



from n = to it , = 7. 



If this be done, and the method indicated above followed, the work presents little 

 difficulty and is not veiy tedious. 



VOL. CCXIH. A. 3 K 



