1. integral [3e on top 2e on bottom] of (lnx/x) dx
2. lim as h-->o of ((e^(1+h)) - e) . h
3. derivative of lnx with respect to x^2 at the point where x=2
2006-11-26 11:44:25 · 4 answers · asked by xchipowers 2 in Science & Mathematics ➔ Mathematics
intel, lol. I just haven't been listening much during class. XD
2006-11-26 11:51:35 · update #1
Some hints:
1. Integrate by parts. (Use u=ln(x) and dv = dx/x) Look at both sides of the equation and see if anything looks similar.
2. Use L'Hopital's rule. If you don't know what it is, I'm not sure you can do this problem. (I assumed that the period at the end was a division symbol, else this problem is as simple as it looks, just take the limit)
3. Call u = x^2. Now solve for x in terms of u and replace it back into the original equation. Now take the derivative with respect to u. Once completed, return everything back to x using your formula, and substitute your value.
Let me know if you need more specific help.
2006-11-26 12:50:45 · answer #1 · answered by kain2396 3 · 0⤊ 0⤋
I Am Really Not Sure I Think I Had This ? Before Not So Sure.
2006-11-26 19:51:53 · answer #2 · answered by DUNE 3 · 0⤊ 0⤋
Well, it's your fault if you didn't pay attention in class.
2006-11-26 20:10:00 · answer #3 · answered by Anonymous · 0⤊ 0⤋
and I thought asians are smart and hard-working :)
2006-11-26 19:46:42 · answer #4 · answered by Anonymous · 0⤊ 1⤋