Susumu Osawa

5 Questions 10 Answers 0 Followers

Questions related from Susumu Osawa

Is the name of the theorem in attached file "term-by-term integration theorem" ?

I want to know the name of the theorem in attached file. I guess it is "term-by-term integarion theorem". If you know the name, let me know. Note that it is not of Lebesgue integral but of Riemann...

22 May 2016 4,073 1 View

What is the name of a theorem?

I want to know the name of a theorem in Riemann integral. it is in the attached file. Note that it is a theorem not of Lebeusgue integral but of Riemann integral, .

20 May 2016 7,834 4 View

Are there any decision criteria if an improper double integral having infinite domain of integration converge?

I want to know if an improper double integral in attached file converge or not? Are there any criteria for determining such an integral convege?

18 November 2015 1,536 7 View

I try to prove integration equality including trigonometric functions. Does this equality hold?

The equality in attached file is probably right. But I got LHS=-2a/b {√(a^2-b^2 )} siny∫_{z0～z1}[1/(1+z^2)^(3⁄2)]dz. Let me know the proof in detail.

19 October 2015 7,413 4 View

How can we get a more complicated integrand including trigonometiric function?

I want to know how to get the following integration. How can we get...

21 August 2015 4,198 3 View