积分常数 Constant of integration
（重定向自Constants of integration）
积分常数是指在微积分中，函数的不定积分表达式中会出现的一个待定常数，一般会用C表示，一函数的反导数有无穷多个，但其中除了积分常数不同外，其余部份均相同。积分常数表示在反导数本身有一些模棱两可之处。若针对函数![f(x)](/Images/godic/202501/06/50bbd36e1fd2333108437a2ca378be621915.png")
，而![F(x)](/Images/godic/202501/06/d76f2c4d6bdf142af5106c3f36e9e9701915.png")
是的一个反导数，则函数的所有反导数可以用![F(x) + C](/Images/godic/202501/06/ca763afe9654e498c5b484f7ac77c6b21915.png")
来表示，其中C为任意值。有些积分表为了简单起见，会省略不定积分的积分常数。
Constants of integration
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Constant of integration 积分常数
（重定向自Constants of integration）
In calculus, the indefinite integral of a given function (i.e., the set of all antiderivatives of the function) on a connected domain is only defined up to an additive constant, the constant of integration. This constant expresses an ambiguity inherent in the construction of antiderivatives. If a function is defined on an interval and is an antiderivative of , then the set of all antiderivatives of is given by the functions , where C is an arbitrary constant. The constant of integration is sometimes omitted in lists of integrals for simplicity.
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