Why do we add an arbitrary constant 'C' after an indefinite integration?

Why do we add an arbitrary constant 'C' after an indefinite integration?

• A. To make the equation linear
• B. Because the derivative of any constant is zero
• C. To calculate area exactly
• D. To represent a specific point

Answer: B) Because the derivative of any constant is zero

Explanation: Since the derivative of a constant is 0, functions that differ by a constant have the same derivative. Thus, C represents the family of all such antiderivatives.