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Why no warning is returned with 2D input?...

Asked by: C_R 3537
integration int warning
February 19 2023
0  5

(Deleted because not reproducible on a different PC)

With 1D

> 

int(1/(sqrt(x__0 - x)*sqrt(-x^2 + 1)), x = 0 .. x__0)

Warning, unable to determine if -1 is between 0 and x__0; try to use assumptions or use the AllSolutions option

  

Warning, unable to determine if 1 is between 0 and x__0; try to use assumptions or use the AllSolutions option

  

int(1/((x__0-x)^(1/2)*(-x^2+1)^(1/2)), x = 0 .. x__0)

 (1)
> 

NULL

With 2D

int(1/(sqrt(x__0-x)*sqrt(-x^2+1)), x = 0 .. x__0)

int(1/((x__0-x)^(1/2)*(-x^2+1)^(1/2)), x = 0 .. x__0)

 (1)

NULL

The root cause might be the same as for this open question.

int_warning_2D.mw

int_warning_1D.mw

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