Please explain the antiderivativeCan someone please explain what an antiderivative is. Is there a rule...
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
An antiderivative of a function f, with domain D, is a function F, with domain D, such that for all . If F and G are antiderivatives for f, then for all 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:
provided f is integrable of course.