Trigonometric substitution
Technique of integral evaluation
Trigonometric substitution
In mathematics, a trigonometric substitution replaces a trigonometric function with another expression. In calculus, trigonometric substitutions are a technique for evaluating integrals. In this case, a radical expression is replaced with a trigonometric one. Trigonometric identities may help simplify the answer. In the case of a definite integral, this substitution changes the interval of integration. Alternatively, the antiderivative of the integrand may be applied to the original interval.
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