Elliptic integrals

11032017, 01:54 PM
Post: #3




RE: Elliptic integrals
In the first pair of calculations you are integrating over a singularity at the end of the integration internval when you use the nontrig defiinition (i.e. at x=t=1). The trig version does not have that singularity. So I suspect that the integration algorithm gives you a less accurate result because of that singularity, i.e. it is not so good at guessing the limit of the improper Riemann integral.
This seems to be comfirmed by the second pair of calculations where you are staying away from the singularity and the results are essentially the same. 

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Messages In This Thread 
Elliptic integrals  salvomic  11012017, 10:00 AM
RE: Elliptic integrals  salvomic  11022017, 05:42 PM
RE: Elliptic integrals  AlexFekken  11032017 01:54 PM
RE: Elliptic integrals  salvomic  11032017, 03:41 PM
RE: Elliptic integrals  Eddie W. Shore  11072017, 12:51 PM
RE: Elliptic integrals  salvomic  11072017, 01:30 PM

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