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设f(x)和g(x)在[a,b]上都可积,请举例说明一般有
设f(x)和g(x)在[a,b]上都可积,请举例说明一般有
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设f(x)和g(x)在[a,b]上都可积,请举例说明一般有
设函数f(x)及g(x)在区间[a,b]上连续,且f(x)≥g(x),那么[f(x)-g(x)]dx在几何上表示什么?
设f(x)在[a,b]上可积,且在[a,b]上满足|f(x)|≥m>0(m为常数),证明在[a,b]上也可积.
设f在[a,b]们上有界证明:若f(x)在[a,b]上只有
为其间断点,则f(x)在[a,b]上可积.
设函数f(x)和g(x)在闭区间[a,b]上可微分,若有
证明:f(x)在闭区间[a,b]上的两个零点之间必有g(x)的零点.
设函数f(x)和g(x)在[a,b]上连续,在(a,b)上可导,证明(a,b)内存在一点ξ,使得
设{在[a,b]上可积,且在[a,b]上满足{f(x)}≥m>0.证明在[a,b]上也可积.