Applications of complex variable residue theory to the evaluation of irrational definite integrals. I (Q918622)
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scientific article; zbMATH DE number 4159954
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Applications of complex variable residue theory to the evaluation of irrational definite integrals. I |
scientific article; zbMATH DE number 4159954 |
Statements
Applications of complex variable residue theory to the evaluation of irrational definite integrals. I (English)
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1990
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Residue theory is applied to evaluate the following four integrals \(\int^{2\pi}_{0}\cos x(a+\cos x)^{\pm 1/2}dx\) and \(\int^{2\pi}_{0}\cos x(a+\cos^ 2x)^{\pm 1/2}dx.\) Numerical results are presented. It appears that the new approach saves computational time when used instead of Simpson's numerical integration rule.
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irrational definite cosine integrals
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Laurent series
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Residue theory
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