Could elmarto-ga (or anyone else) help me out again with some problems
I'm working through right now for fun?  He does a great job of going
through the steps.  Also, any tips on Mathematica 5.1 would be greatly
appreciated!

1.	Integrate[1/xLn[x], {x, e, e^2}]

How do I solve in terms of Ln?

2.	2*Integrate[e^(2*x)/(e^(2*x) + 5), {x, 0, 5/2}]

How do I solve in terms of Ln?

3.	Integrate[3/(x*(1 + Ln[x])), {x, 1, e}]

How do I solve in terms of Ln?

4.	Integrate[Ln[x]/x^2, {x, 1, e^2}]

How do I solve in terms of e?

5.	Integrate[Ln[x], {x, e, e^2}]

How do I solve in terms of e?

6.	How do I find the area between the curves y = (e^x), y = (-x^2)-(2x)?
7.	Given the upper curve of y=e^-x and the lower curve of y=e^x, what
is the area in between interval [-1,0] in terms of e?
8.	What about for y=(x^2)-(2x) and y=x for [0,4].  How do I find the
area of the region in between?


And a couple more questions that I?m trying to figure out:

9.	Given the marginal cost equation of C?(x) = (60x)/((5x^2)+(e)),
what is the cost function if the fix cost is 666 in terms of Ln?
10.	A rate of growth in dollars per years of profit is given by P?(x)
= xe^(-x^2).  How do I find the profit function if the profit in the
zeroth year is zero?

Again, any tips you have on using Mathematica 5.1 would also be
helpful ? I?m trying to teach myself how to use that right now too!