Integrals of the form

(1) 
can be solved by making the substitution
so that
and expressing

(2) 

(3) 
The integral can then be solved by Contour Integration.
Alternatively, making the substitution
transforms (1) into

(4) 
The following table gives trigonometric substitutions which can be used to transform integrals involving
square roots.
See also Hyperbolic Substitution
© 19969 Eric W. Weisstein
19990526