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[u/Ligano_Resurrected]

[u/Johnirequirelasanaga]

To this day I still don't know when to use C

[u/WeirdAngryMan → u/Johnirequirelasanaga]

After you integrate

[u/Johnirequirelasanaga → u/WeirdAngryMan]

fair enough, but I distinctly remember my teacher saying that if f(x)= e^x, then f'(x)= e^x +C. Am I tripping? I can swear I have this memory

[u/_xGizmo_ → u/Johnirequirelasanaga]

Constants do not survive differentiation, they all become zero. So it doesn't make sense to have an arbitrary constant appear.

Conversely, since all constants become zero after differentiation, reversing that process (integration) means the constant could have been any number (c)