“Trigonometric Substitution”的概念、定义、习题解题方法及翻译-数学辞典

单词

Trigonometric Substitution

释义

Trigonometric Substitution

Integrals of the form

(1)

can be solved by making the substitution

so that

and expressing

(2)

(3)

The integral can then be solved by Contour Integration.

Alternatively, making the substitution transforms (1) into

(4)

The following table gives trigonometric substitutions which can be used to transform integrals involving square roots.

See also Hyperbolic Substitution

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