f07dd5d8-f1eb-4d67-b4de-0e656d98b1f4 6 4 5 decimal

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QED ... Quod Errat Demonstrandum

x > ε principal argument is negative
QuickPlot will ignore as well ∫ x ε n u f u 11 x ε / - (n^- (* :

Principal argument
 x  ≤ ε  n <  1 | n > 1 11 x ε / - (n^-

ε 1.25 : n 0.25 : 12 mat

Principal argument x ε n f 11 x ε / - (n^- :

x plot x ε n f ε 2 ε 0.5 - 22 mat ε ε ε n f + 40 black 15 mat 31 sys :

x plot

1.5 ε n f 0.5271 0.4729 i * -

Stops plotting @ x ≡ ε

ε ε n f 1.000000000000000

Clear system ε n Clear 1

Indefinite integral
optimiz SYMBOLIC/NONE ... x Φ x ε n f x int maple : x 1 n + (* ε x - ε / (1 n +^ε * + 1 n + /

Re-install parameters ε 1.25 : n 0.375 : 12 mat

x Φ ε 10 ε 1 - 2 2 mat ε ε Φ + 40 black 1 5 mat 3 1 sys

Stops integrating @ x ≡ ε

Clear system ε n u Clear 1

Indefinite parametric integral x Φ x ε n u f x int maple : u x 1 n + (* ε x - ε / (1 n +^ε * + (* 1 n + /

ε

jmG: 20230225