⑩天掌 Teaching Plan on Advanced Mathematics o 特殊情形 (1)L:y=y(x)x起点为a,终点为b 则∫Pdx+gd=Px,y(x)+Qxy(x)(x) (2)L:x=x(y)火起点为c,终点为d d 则「Pd+c={Px(y)yx(y)+Qx(功),用小 x=q() (3)推广r:y=v(),起点a,终点B Z=0 tianjin polytechnic dmivendityTianjin Polytechnic University Teaching Plan on Advanced Mathematics 特殊情形 (1) L : y = y(x) x起点为a，终点为b. Pdx Qdy {P[x, y(x)] Q[x, y(x)]y (x)}dx. b L a 则 + = +  (2) L : x = x( y) y起点为c，终点为d. Pdx Qdy {P[x( y), y]x ( y) Q[x( y), y]}dy. d L c 则 + =  + , , . ( ) ( ) ( ) (3) :      推广 t起点 终点 z t y t x t      = = = 