若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小...若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小于等于(b-a)的平方乘

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若f(x)在[a,b]上连续,在(a,b)内可导,|f''(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小...若f(x)在[a,b]上连续,在(a,b)内可导,|f''(x)

若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小...若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小于等于(b-a)的平方乘
若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小...
若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小于等于(b-a)的平方乘以M除以2

若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小...若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小于等于(b-a)的平方乘
打了一大堆,却输入字数限制,没辙了.只能说下大概过程：
将b转为以x,建立辅助函数：F ( x ) = ∫ f(t) d t - M/2 * ( x -a )² （上限是x,下限是a)
F(a)=0,连续两次求导利用已知条件判断F（x)大于0就得证

同做这道题

F ( x ) = ∫ f(t) d t - M/2 * ( x -a )² （上限是x，下限是a)
F(a)=0

若函数f(x)在[a,b]上连续,a 若f(x)在[a,b]上连续,a 若函数f(x)在[a,b]上连续,a 若函数f(x)在[a,b]上连续,a f(x)在a到b上连续,f(x) 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 f(x)在[a,b]上连续a 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,a 设函数f(x)在[a,b]上连续,a 设函数f(x)在[a,b]上连续,在(a,b)内可导且f'(x) 如果f(x)在[a,b]上一致连续,证明f(x)在[a,b]上有界如果f(x)在[a,b]上一致连续,证明f(x)在[a,b]上有界假设f(x)在区间[a,b]上连续在(a,b)内可导且f'(x) 设函数f(x)在[a,b]上连续,在(a,b)上可导且f'(x)