Posted by **Jane** on Friday, September 6, 2013 at 11:43pm.

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

- calculus -
**Graham**, Saturday, September 7, 2013 at 12:41am
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 -
**Graham**, Saturday, September 7, 2013 at 2:57am
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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