Elementary evaluation of Fresnel's integrals
Mathematica Bohemica, Tome 116 (1991) no. 4, pp. 401-404

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MR Zbl
We evaluate the Fresnel integrals by using the Leibniz rule only on a finite interval.
We evaluate the Fresnel integrals by using the Leibniz rule only on a finite interval.
DOI : 10.21136/MB.1991.126022
Classification : 26A06, 26A09
Keywords: evaluation; Fresnel integrals; Leibniz rule
Výborný, Rudolf. Elementary evaluation of Fresnel's integrals. Mathematica Bohemica, Tome 116 (1991) no. 4, pp. 401-404. doi: 10.21136/MB.1991.126022
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[FL] H. Flanders: On the Fresnel integrals. Amer. Math. Monthly 89 (1982), 264-266. | DOI | MR | Zbl

[JA] V. Jarník: Integrální počet II. ČSAV, Praha, 1955, pp. 340-342 and 361-363.

[Mac] E. J. McShane: Unified integration. Academic Press, Inc., Orlando, 1983. | MR | Zbl

[ML] R. M. McLeod: The generalized Riemann integral. The Mathematical Association of America, Washington DC, 1980. | MR | Zbl

[SW] J. D. DePree, Ch. W. Swartz: Introduction to Real Analysis. John Wiley & Sons, New York, 1988, p. 199. | MR

[WE] R. Weinstock: Elementary Evaluations of $\int_0^{infty} e^{-x^2} dx$, $\int_0^{infty} \cos x^2 dx$, and $\int_0^{infty} \sin x^2 dx$. Amer. Math. Monthly 97 (1990), 39-42. | MR

[YZ] J. van Yzeren: Moivre's and Fresnel's integrals by simple integration. Amer. Math. Monthly 86 (1979), 691-693. | MR | Zbl

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