470 



PRACTICAL MATHEMATICS 



7 12 



(20) - - log e (3 - 4*) - log e (* + 2) 



(21) ^ log e (* + 2) + JL log.(a!-8) - 1 log> - 1) 



21 4 



(22) log.{8 - 2*) - log,(;c - 2) - log(.-te + 1) 



(28) 



3J-1 



(M)log,(r +3) t- 

 (25) 16 log,(2* + 3) 



(28) | log,^ - 2) + 1 lo&fr + 2) - -i- 



/on\ 



(29) 7 



4 3e a; - 1 2(# 2 - 1) 



(31) tan-, 



(88) tan- 1 x + log e (^ 2 + 1) (34) V3 tan- 1 + 



+ 5 



(35) tan- 1 



(36) 



fe + 25) - tan 



(87) *-* (38) log < 



(39) - log e (a? 2 + 2a? + 4) - -v/3 tan" 1 



X -\- 1 



(44) tan- 

 (46) 0-1 



(45) 



V3 



