| 单词 | constant of integration |
| 释义 | constant of integration An arbitrary number which can be added to any indefinite integral. Consider a function f(x). Its first derivative is df(x)/dx = g(x). f(x) is thus the indefinite integral of g(x). But the first derivative of any function h(x) = f(x) + k, where k is any constant, is also g(x), since dk/dx = 0. Thus h(x) is also an indefinite integral of g(x). In calculating the definite integral of g(x), that is the integral of g(x) over the range from x = a to x = b, the constant of integration disappears, since it is added when evaluating h(x) at one limit and subtracted again evaluating h(x) at the other. |
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