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## Main Question or Discussion Point

I was under the impression that the derivative of e raised to any power with a variable in it is just the same result. So why isnt it the same for all indefinate integrals of e to any power with a variable in it? Specificaly why is it that:

\int e^6x = \frac{1}{6} e^6x

\int e^6x = \frac{1}{6} e^6x

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