THE INTEGRATION OF 



a sin x 4- b cos x 



177 



This integral can be taken another way, only the method entails 

 more work. 



f dr f *L_ - 



I _ ^ Sj* <J1 / tl^\ 



Ja sin # + b cos t ? 1 2a sin - cos - + b ( cos 2 - - sin 2 - j 



2, \ , ,/ 



sec 2 - dx 



m 



1* T* 



2a tan - + 6 - 6 tan 2 - 



'- 4 



<&/ a; 



- j = where y = tan - 

 6 + 2ay - by 2 2 



dy 



+ 



A+X 



l_ 

 f a?+b 2 



V a 2 + 6 2 - by + a 



a 2 + 6 2 - a + 6 tan - 



31 



a; 



a 2 + 6 2 + a 6 tan - 





M 



