Date: Around 1993
Hey, I am new on this system and am not yet familiar with the
commands. Please respond via e-mail. I am having a problem with an integral
that I think will be some trig function. Am I overlooking something simple?
Anyway, here goes: integral of (E+k/x)^(-1/2) dx where the variable is x, E
and k are constant. Thanks for any replies!
If I remember my rules of integration correctly, you should be
able to take E and k outside the integral if they are constants. Take (E+k)^-
1/2 outside the integral leaving (1/x)^-1/2 dx. (1/x)^-1/2 is also x^1/2
which is an easy integral to do. I hope this has helped.
As stated, E+k is not factorable since E+k/x is not (E+k)/x given
the standard hierarchy of operations. The substitution given by x/(xE+k) =
t^2 will convert the integral to one that has a rational integrand in variable
t. I get the integrand to be the quotient of 2kt^2 by (1-Et^2)^2. Reference:
Tables of Integrals, Series, and Products by Gradshteyn & Ryzhik, Academic
Press, 1965, pp 70-1.
I stand corrected. I thought that looked too easy. I did not
even think that it was E+(k/x) and not (E+k)/x. Thanks for correcting me.
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