In mathematics, trigonometric substitution is the substitution of trigonometric functions for other expressions. One may use the trigonometric identities to simplify certain integrals containing radical expressions:
- If the integrand contains a2 − x2, let
-
- and use the identity
- If the integrand contains a2 + x2, let
-
- and use the identity
- If the integrand contains x2 − a2, let
-
- and use the identity
Read more about Trigonometric Substitution: Substitutions That Eliminate Trigonometric Functions
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