EXAMPLES X 155 



EXAMPLES X 

 Solve the following integrals : 



(ar + 2) dx /0 . f (3* + 2) dx 



f (3x + 2) dx f (3* 



(1) IqT ~A~ 7 (*) I / -. 



* + 4r - 7 



(3) f-^- (4) L ^ 



J^ log.a; JVl-* 2 sin- 1 x 



\ I 



^c 

 I 



(7) Jtanhzcte (8) J^l 



fsin- 1 x dx . . f sec 2 a; dx 



j Vl x* J Vtan x 



<' j^T < 12 ' fcm 



P a? 2 (ic f 



(13) l_ (14) |(4# 3)V2a? 2 3a? + l <ir 



Ja^-1 J v 



(2a?-l)<to f^ 2 ^ 



g -3)(^-5) (16) J^T 



f da; 



J(8-2)(48-8) 



I* /*>-! i Q\ /J-r> C ( t\v 9\ /IT 



(19) r (*B + <*)<& (20) i (& ^) ^_ 



^ 21 ^ ](#- !)(+ 2) (a; -8) ^ J(3aj+ !)(#- 2)(3-2a?) 



( 23 ) [ 7. i\4 ( 24 ) I?" al 3 



f (x 3 3x + 4) dx rt/ ,. f(5 



' 25 > J (.+) < 26 ' J- 



(3* -4)3 



. . 



{ ' 



. 

 a 



x* - 4)(aj - 2) 

 (x + 4) <ta 



5 

 5) dx 



b 



j 



dx 



