alleryHow many anti derivatives does a function have?
AEndless many
BExactly one
CExactly two
DNone at all
Answer & Solution
Correct answer: A. Endless many
1. Adding any constant to an anti derivative gives another one.
2. There are infinitely many real numbers to choose from.
3. So a function has infinitely many anti derivatives.
_Source: syllabus Mathematics Part II, Chapter 7, Integrals._
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