高数课程妥媒血课件 理工大理>> 补充)如果f()连续,a(x)、Bb(x)可导 则F(x)=、f()的导数F(x)为 x F'(x) f(t)dt=fb(x)lo'(x)-fla(x)la'(x) dx Ja(x) 证F(x)= b(x) 十 丿(t)dt a(x) b (x) a(r) f(tdt f(t)di F(x)=fb(x)o'(x)-fla(xJa(x) Http://www.heut.edu.cn如果 f (t)连续,a(x)、b(x)可导, 则F x f t dt b x a x = ( ) ( ) ( ) ( ) 的导数F( x)为 = f b(x)b(x) − f a(x)a(x) 证 F x ( )f t dt a x b x ( ) ( ) 0 ( ) ( ) 0 = + f t dt b x = ( ) 0 ( ) ( ) , ( ) 0 f t d t a x − F(x) = f b(x)b(x) − f a(x)a(x) = ( ) ( ) ( ) ( ) b x a x f t dt dx d F x 补充