# calculus

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integrating e^1/3dx i got 3e1/3 +c pls am i right

• calculus -

No. e^(1/3) is a constant. It's not a function of x.

The integral of a constant term (a) is:
∫ a dx = ax + C

Substitute a = e^(1/3).

• calculus -

On the other hand:

∫ e^(x/3) dx
= 3 ∫ e^u du , where x = 3u, dx = 3du
= 3 e^(u) + C
= 3 e^(x/3) + C

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