74.∫小Nm2+bx+cdr=2ar+b ax+bx+c Aa +4a-1l2x+b+、ax+b 8v园 xdx=+bx+c 75.∫a+bx+c a 6a+++网 dx .2ax-b_+C √b2+4ac n小+-md=26ra-a+“ .2ax-b_+C -arcsin- 8a b2+4ac 2ax-b -arcsin- +C Q B2+4ac +)含有,或-a6-可的银分 9.∫-g=--g+-an-4+k-刚+c [x-a+C Vb-x dx e小-oo-w-29-a6-,m4c (a<b) (十一)含有三角函数的积分 83.sin xdx =-cosx+C74. 2 ax bx c x d = 2 2 4 ax b ax bx c a 2 2 3 4 ln 2 2 8 ac b ax b a ax bx c C a 75. 2 d x x ax bx c = 1 2 ax bx c a 2 3 ln 2 2 2 b ax b a ax bx c C a 76. 2 dx c bx ax = 2 1 2 arcsin 4 ax b C a b ac 77. 2 c bx ax x d = 2 2 3 2 2 4 2 arcsin 4 8 4 ax b b ac ax b c bx ax C a a b ac 78. 2 d x x c bx ax = 2 3 2 1 2 arcsin 2 4 b ax b c bx ax C a a b ac (十)含有 x a x b 或 ( )( ) x a b x 的积分 79. d x a x x b =( ) ( )ln( ) x a x b b a x a x b C x b 80. d x a x b x =( ) ( )arcsin x a x a x b b a C b x b x 81. d ( )( ) x x a b x =2arcsin x a C b x ( ) a b 82. ( )( )d x a b x x = 2 2 ( ) ( )( ) arcsin 4 4 x a b b a x a x a b x C b x ( ) a b (十一)含有三角函数的积分 83. sin dx x = cos x C