Practice question · Multiple choice
Differentiation and integration are inverse operations, yet an indefinite integral carries a and a derivative does not. What does that asymmetry record?
Hints
- Differentiate , and .
- Now try to get back from the answer.
Show the answer
C. That differentiation destroys information about constants
Why
A non-injective operation cannot have a clean inverse. The is exactly the information destroyed, and an initial condition is what supplies it again.
Practise Integrated single-variable calculus problems
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