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)]
MAPLE simply reepeats my entry in the form of an integral in symbolic form. I loaded up the IntegrationTools package & I also applied the (RealDomain) package as well to avoid any potential conflicts than might hang up MAPLE if the variables were complex.
Why can I not get MAPLE to generate anything?
