(7)-sec2x+hn tan x+c (8)-(tan'x-cot'x)+3(tan x-cotx)+c: (9)-(sin x-cos x)+--ln x+-|+cotx+-‖+c; 4 4 x+a 4.(1)/x h2h22 (2) arctan x-In(1+x")+c (3)x‘(4hx-1)+c (4) arcsin x +C; 16 (5)=x'+-(2x2-1)sin 2x+xcos 2x+c: (6)-xcot x+Insn x)-3x2+c (n In x-D)hnx (8)-hn (9)(2x3+x ln(x+√x2+1)+c I arcsin x 1 (11)(x+1 (x+1) +c (12)(x2+x+1) h 2 5.(1)h+c (2)-ln +C: 4x+3 C (4)In(x+1)+arctan x (5)hx-31-2hx (6) (7)x-l X+2+ In(x+1)+. x+c (8)-ln (x-1) arctan x+C11 ( 7 ) sec x ln tan x c 21 2 ; ( 8 ) (tan x cot x ) 3(tan x cot x ) c 31 3 3 ; ( 9 ) x x x x c 4 cot 4 ln csc 42 (sin cos ) 21 ; (10 ) c x a x a a 2 cos 2 cos ln sin1 。 4.( 1 ) c x x 2 ln 2 1 ln 2 2 ; ( 2 ) x x ln( 1 x ) c 21 arctan 2 ; ( 3 ) x ( 4ln x 1 ) c 161 4 ; ( 4 ) c x x x x 2 1 1 ln arcsin ; ( 5 ) x x x x cos 2 x c 41 (2 1)sin 2 81 61 3 2 ; ( 6 ) x x x x c 2 21 cot ln sin ; ( 7 ) (ln ln x 1 )ln x c ; ( 8 ) e c x ln 1 2 sin ; ( 9 ) x x x ln( x x 1) c 81 (2 ) 1 81 3 2 2 ; (10 ) c x x x x 2 2 2 1 1 1 arcsin 21 ; (11 ) 1 ( 1 ) 21 2 x x x 1 ( 1 ) 45 x x x c x x x x 1 1 1 1 ln 83 ; (12 ) 41 ( 1 ) 31 23 2 x x 1 21 2 x x x x x x c 1 21 ln 163 2 。 5.( 1 ) c xx 31 ln 41 ; ( 2 ) c xx 11 ln 41 22 ; ( 3 ) c xx 13 ln 41 22 ; ( 4 ) c xx x x 11 ln( 1 ) 2arctan 21 2 2 ; ( 5 ) x x ln x 1 c 21 ln 3 2ln 2 23 ; ( 6 ) c x x x x 2 1 arctan 81 4 ( 2 5 ) 3 2 ; ( 7 ) x x x arctan x c 103 ln( 1) 201 ln 2 154 ln 1 61 2 ; ( 8 ) x c x x x arctan 1 1 1 ( 1 ) ln 21 2 2 2