Please explain the antiderivativeCan someone please explain what an antiderivative is. Is there a rule...

Ayaan Barr

Ayaan Barr

Answered

2022-07-09

Please explain the antiderivative
Can someone please explain what an antiderivative is. Is there a rule for finding the general antiderivative of a function?

Answer & Explanation

Tatiana Gentry

Tatiana Gentry

Expert

2022-07-10Added 10 answers

Explanation:
An antiderivative of a function f, with domain D, is a function F, with domain D, such that d d x F ( x ) = f ( x ) for all x D. If F and G are antiderivatives for f, then F ( x ) = G ( x ) + C for all x D and for some constant C. One can find the family of antiderivatives (which contains all antiderivatives, where they only differ by a constant) by computing the indefinite integral of f:
f ( x ) d x = F ( x ) + C C  is a constant provided f is integrable of course.

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