求详解设f(x)在【0,a】上连续,在﹙0,а﹚内可导,且f﹙α﹚=0,证明存在一点ξ属于（0,a）,f(ζ)+ζf '(ζ)=0

高数 证明题 求详解~必须有详细过程~多谢~设f(x)在[0,a]上连续,f(0)=f(a)=0,当0 求详解设f(x)在【0,a】上连续,在﹙0,а﹚内可导,且f﹙α﹚=0,证明存在一点ξ属于（0,a）,f(ζ)+ζf '(ζ)=0 求设f'(x)在[0,a]上连续.f(0)=0,证明|定积分f(x)d(x) 2007考研数学选择题 设函数f(x)在x=o上连续题目 求详解 设f(x)在[a,b]上连续,且a 设函数f(x)在[a,b]上连续,a 设f(x)在[a,b]上连续,且a 设f(x)在[a,b]上连续,且a 设f(x)在[a,b]上连续,a 设函数f(x)在[a,b]上连续,a 设分段函数f(x)=2^x,x0 在R上连续,求a 证明:设f(x)在[a,b]上连续,在(a,b)内可导,(0 设f(x)在[a,b]上连续,在(a,b)上可导(0 设函数f(x)在[a,b]上连续,在(a,b)内可导(0 设f(x)在[a,b]上连续,在(a,b)内可导,(0 设f(x)在[a,b]上连续,在(a,b)内可导(0 设f(x)在[a,b]上连续,在(a,b)内可导(0 设f‘(x)在[a,b]上连续,且f(a)=0,证明:|∫b a f(x)dx|求详细过程