Trigonometric substitution
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Trigonometric substitution is the technique of replacing variables in equations with or or other functions from trigonometry.
In calculus, it is used to evaluate integrals of expressions such as or
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[hide]Examples
To evaluate an expression such as , we make use of the identity . Set and the radical will go away. However, the will have to be changed in terms of :
Making use of the identity , simply let .
Since , let .
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