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Topic: Rubi 4.5 released
Replies: 21   Last Post: Jun 29, 2014 4:29 AM

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clicliclic@freenet.de

Posts: 997
Registered: 4/26/08
Re: Rubi 4.5 released
Posted: Jun 23, 2014 7:16 AM
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clicliclic@freenet.de schrieb:
>
> [...] The alternative would be to use variable substitution; one way
> is described by Charlwood, another is to apply the substitution t =
> SQRT(x + 1) - SQRT(x), SQRT(x) = (1 - t^2)/(2*t), dx = (t^4 - 1)/
> (2*t^3)*dt to the integral:
>
> INT(SQRT(SQRT(x))*SQRT(SQRT(x + 1) - SQRT(x))/SQRT(x + 1), x)
>


Oops, this should have been the original integrand:

INT(SQRT(SQRT(x)*(SQRT(x + 1) - SQRT(x)))/SQRT(x + 1), x)

Martin.



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