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
© 1996-9 Eric W. Weisstein
1999-05-26