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
Other articles related to "trigonometric substitution, substitution, trigonometric":
Trigonometric Substitution - Substitutions That Eliminate Trigonometric Functions
... Substitution can be used to remove trigonometric functions ... In particular, see Weierstrass substitution ...
... Substitution can be used to remove trigonometric functions ... In particular, see Weierstrass substitution ...
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“Virtue is the adherence in action to the nature of things, and the nature of things makes it prevalent. It consists in a perpetual substitution of being for seeming, and with sublime propriety God is described as saying, I A—.”
—Ralph Waldo Emerson (1803–1882)
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