INTEGRATION OF ALGEBRAIC FRACTIONS 158 



1 



52 



12)dor 



I2x + 52 



_ 



da; 



+52 



- log,(* 2 + 120 + 52) - tan- 1 ^- 



(c) When the numerator of the fraction is of the same, or higher, 

 degree than the denominator, before proceeding to integration the 

 denominator should be divided into the numerator. 



3 



- - and 



13 



J 



-l)dx 



2 .2x-8 



= ;=. tan -1 T=- and 

 Vl3 A/13 



[ (2x-3)dx C 



\xdx + 8\dx + - \ 11 - I 



J J 4j**-3* + _ 4 J 



4,7 



91. When the fraction is of such a form that the denominator 

 is the product of linear and quadratic factors, the method of 



