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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 9,222 of 10,432    |
|    clicliclic@freenet.de to Albert Rich    |
|    Re: integration of sec(t)    |
|    14 Dec 16 18:11:18    |
      Albert Rich schrieb:       >       > What would you recommend changing it to?       >              I don't necessarily recommend to change it: What is the most appropriate       antiderivative should follow from your choice of design principles.              In fact, I myself seem to have introduced antiderivatives of the       ATANH(SIN(t)) type in my sci.math.symbolic post of Sun, 21 Apr 2013       18:20:53 +0200 to the thread "An independent integration test suite".              This form of antiderivative is real on the entire real line just as the       integrand is. The alternative LN(TAN(pi/4 + t/2)) is almost as simple,       but its branch cuts in the complex plane are less disruptive while its       imaginary part along the real line jumps between zero and pi.              Many of the antiderivatives that exhibit logarithmic poles should admit       two or more alternative forms like this.              Martin.              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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