用定积分形式定义的不定积分

The Indefinite Integral Defined by Definite Integral

设f(x)有界且有原函数,把f(x)按照一定条件先限制再延拓到(-∞,+∞),得F(x).令x为自变量,s为参数,则形式定积分∫sxF(t)dt就是f(x)的不定积分.因此,不定积分可以看成另一种形式的定积分.是上限与下限都不定的定积分.

If function f（2） is founded and has primary function, the formal definite integral ∫sxF（t）dt the indefinite integral of f（x）. Here, x is a self-variable, s is a parameter, F（x） is a function defined in （-∞,＋∞）, which comes from f（x） by restriction and extension. So the indefinite integral is integral, whose upper limit and lower limit are all indefinite.