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Theorem 1.8.9 If each function u,(x) is continuous in asxsb and the series E un(x) is uniformly convergent with the sum function s(x) = E u,(x), n = 1 %3D n =1 then 0 S s(x) dx = f E u„(x) dx = 2 f u„(1) dx %3D n - 1 n =1 a a a

Theorem 1.8.9 If each function u,(x) is continuous in asxsb and the series E un(x) is uniformly convergent with the sum function s(x) = E u,(x), n = 1 %3D n =1 then 0 S s(x) dx = f E u„(x) dx = 2 f u„(1) dx %3D n - 1 n =1 a a a

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Theorem 1.8.9 If each function u,(x) is continuous in asxsb and the series E u,(x) is uniformly convergent with the sum function s(x) = E u,(x), n = 1 %3D n = 1 then S s(x) dx = f 2 u„(x) dx = 2 f u,(x) dx %3D %3D n - 1 n =1 a a CS Scanned with CamScanner
Transcribed Image Text:Theorem 1.8.9 If each function u,(x) is continuous in asxsb and the series E u,(x) is uniformly convergent with the sum function s(x) = E u,(x), n = 1 %3D n = 1 then S s(x) dx = f 2 u„(x) dx = 2 f u,(x) dx %3D %3D n - 1 n =1 a a CS Scanned with CamScanner
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