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True or false: the constant of integration

Exercise and reference answers

Questions
  1. Statement is true
    Yes
    Statement
    An indefinite integral carries a constant of integration.
  2. Statement is true
    Yes
    Statement
    All the integrals of one function differ only by a constant.
  3. Statement is true
    No
    Statement
    An indefinite integral names exactly one function.
  4. Statement is true
    Yes
    Statement
    Indefinite integrals are also called general integrals.
  5. Statement is true
    Yes
    Statement
    The constant is usually written C.

Explanation

Every indefinite integral names a family, not a single function. Source: syllabus Maths, Ch 7 Integrals.
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