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单词 Fundamental Theorem of Calculus
释义
Fundamental Theorem of Calculus

Mathematics
  • This theorem makes explicit how integration is the inverse of differentiation.

    If f is a continuous function on [a,b] and F is an antiderivative of f, so that F′(x) = f(x) for all x in [a,b], then

    abf(x)dx=F(b)F(a).

    It follows that

    ddxaxf(t)dt=f(x).


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