Question: Getting MAPLE to generate output on indefinite integrals

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


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:


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?

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