I replied to the following thread but after further thought I probably start a new thread:

http://www.mapleprimes.com/forum/multivariate-directional-derivative-0

I am attempting to get MAPLE to generate indefinite integrals that are of the form:

exp(-k[r^2-a^2*cos(x)]^0.5)

from fundamental calculus principles I might set u = [r^2-a^2*cos(x)]^0.5 which then should yield du/dx = 1/2*(a*sin(x)/[r^2-a^2*cos(x)]^0.5).

Then if my math is correct the result should end up:

2*(r^2-a^2*cos(x)]^0.5)*exp(-k[r^2-a^2*cos(x)]^0.5)/[-k*a*sin(x)]

I am attempting to obtain the analytical form of the integral of [exp(-cx)]/[a^2+x^2]^1/2 with respect to x.  Unfortunately, this form does not appear in any of the indefinite integral tables that I have been perusing.  I am attempting to utilize MAPLE but it simply outputs the integral in symbolic form & does not generate the actual function.

Anyone have any leads where I might find the correct form of this integral or how to get MAPLE to cooperate & generate the expression form me in a form that is inddtuitive???

I have multiple XY pairs from multiple sensor data which I would like to display on the same plot.  I can easily do this in MATLAB, but referencing Chapt 5 of the User's Manual indicates ways to plot multiple plots when plotting relations, but nothing I found pertains to actual numeric data sets.  The only plot command I found was "PointPlot" & it appears it can only plot a single data set at a time.

Any suggestions?

I have a nasty expression that solves for eigenvalues of pressure & shear waves propagating along an interface between 2 elastic media.  There are many roots to this expression for eta, but many of them can be excluded because the material properties are both REAL & POSITIVE.  I am very new to MAPLE & I am attempting to get it to solve for the roots where all of the other parameters meet the conditions of REAL & POSITIVE but I am not sure I am doing this correctly because MAPLE runs off to evaluation mode & takes so much memory my computer slows to a crawl &