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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