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Hyperbolic Substitution

A substitution which can be used to transform integrals involving square roots into a more tractable form.

Form Substitution
$\sqrt{x^2+a^2}$ $x = a\sinh u$
$\sqrt{x^2-a^2}$ $x = a\cosh u$

See also Trigonometric Substitution




© 1996-9 Eric W. Weisstein
1999-05-25