Please help me evaluate

e^(x)^1/2/ (x^1/2)

I started out with u substitution. First I let radical x be u, but I couldn't work it out properly because I didn't know what to cross out. Please give me some insight on this! (Wondering)

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- Feb 25th 2011, 12:17 PMkikiyaEvaluating an Integral
Please help me evaluate

e^(x)^1/2/ (x^1/2)

I started out with u substitution. First I let radical x be u, but I couldn't work it out properly because I didn't know what to cross out. Please give me some insight on this! (Wondering) - Feb 25th 2011, 12:20 PMTheEmptySet
- Feb 25th 2011, 12:21 PMpickslides
You're substitution is correct, what did you find to be?

Edit: TES beat me to the punch. - Feb 25th 2011, 12:24 PMpickslides
- Feb 25th 2011, 12:30 PMTheEmptySet
- Feb 25th 2011, 12:38 PMkikiya
I'm sorry, but where did you get the 2 that's outside of the integral? Please explain your process lol

- Feb 25th 2011, 12:58 PMpickslides
O.K given what do you get for ?

- Feb 25th 2011, 02:48 PMkikiya
Sorry I'm late but is it 1/ 2 (x^1/2) ?

- Feb 25th 2011, 03:25 PMNOX Andrew
Exactly. Unfortunately, there isn't a 1/2 inside the integral, so you can't substitute yet. Fortunately, you can place a 1/2 inside the integral as long as you place a 2 outside the integral (to balance the 1/2). Now, the problem looks like:

Substituting and gives:

- Feb 26th 2011, 04:06 AMHallsofIvy
Strictly speaking, what you wrote here was

but apparently you meant

which would be e^(x^(1/2))/x^(1/2)

Quote:

I started out with u substitution. First I let radical x be u, but I couldn't work it out properly because I didn't know what to cross out. Please give me some insight on this! (Wondering)

- Feb 26th 2011, 09:05 AMkikiya
Oh, I see the error! Thank you! :)

- Feb 26th 2011, 09:07 AMkikiya
Thank you for walking me through it! I was confiused about the balancing out, but now I get it! Thank you! :D