(1)
|
can be solved by making the substitution so that and expressing
(2)
| |||
(3)
| |||
(4)
| |||
(5)
|
The integral can then be solved by contour integration.
Alternatively, making the Weierstrass substitution transforms (◇) into
(6)
|
The following table gives trigonometric substitutions which can be used to transform integrals involving square roots.
form | substitution |