⑩天掌 Teaching Plan on Advanced Mathematics f(x)=f(x)·,lnf(x) d x f(r=u(x)lv(x).Inu(x)+ v(x)u(x) ux 幂指函数∫(x)=u(x)(u(x)>0)也可表示成 f∫( X=e v(x)Inu(x) 这样便可直接求得 f(x)=ep(x),lm(x)+形以的(x u(x) vru(x (x)xv(x) In u(x)+ ulrTianjin Polytechnic University Teaching Plan on Advanced Mathematics ( ) ( ) ln f (x) dx d  f  x = f x  ] ( ) ( ) ( ) ( ) ( ) [ ( ) ln ( ) ( ) u x v x u x f x u x v x u x v x    =   + 幂指函数 ( ) ( ) ( ( ) 0) 也可表示成 ( ) f x = u x u x  v x ( )ln ( ) ( ) v x u x f x = e 这样,便可直接求得 ] ( ) ( ) ( ) [ ( ) ln ( ) ( ) ( )l n ( ) u x u x f x e v x u x v x v x u x   =   +           =   + ( ) ( ) ( ) ( ) ( ) ln ( ) ( ) u x v x u x u x v x u x v x