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COMPARISON OF TWO TYPES OF SIMPLE INTEGRALS WHICH RESULT IN CERTAIN CASES FROM A DOUBLE INTEGRATION.

  • Dennis M. CatesEmail author
Chapter

Abstract

Consider that equation ( 15) of the preceding lecture is satisfied. If we integrate this equation twice, namely once with respect to x between the limits \(x_0, X, \) and once with respect to y between the limits \(y_0, Y, \) we will find
$$\begin{aligned} \int _{x_0}^{X}{\big [ \varphi (x, Y)-\varphi (x, y_0) \big ] \, dx}=\int _{y_0}^{Y}{\big [ \chi (X, y)-\chi (x_0, y) \big ] \, dy}. \end{aligned}$$

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Sun CityUSA

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