52f2e7e8-5a81-4da5-bab5-4a7b0458b2a5 8 3 5 decimal

&[DATE] &[TIME] - &[FILENAME]

# # int maple

type int in the place holder # maple

copy/paste to isolate # # int

type int in the integrand place holder # # int

type , [coma]in the place holder of int(▄) # int # int

# # int # int

type , [coma]

Alt220

▄

# int # int # int

# # int # int # int

type , [coma]

SS 6179 ... 20181202 int maple

SS 5346: as you finish typing int in the place holder ... # maple

# # int maple

... the indefinite integration is genarated. This functionality was maintained SS 6179, up until I noticed it failed [20181202]

x c 0 x * :

x q x :

x y F x 2^y 2^+ sqrt :

Symbolic x y F y x c x q int x int maple x 2 sqrt x 2^sqrt * x x 2 sqrt x 2^sqrt * + ln * + x x ln * - (* 2 / x int

x f x 2 sqrt x 2^sqrt * x x 2 sqrt x 2^sqrt * + ln * + x x ln * - (* 2 / :

Isolate/recast integrand

Filling the segment project

data spec pts i 1 data rows range p i el a b c spec : for Unest 'p' v p 1 el : j 2 p rows range v v p j el stack : for data v augment 51 line :

N 500 : (Density of random ≡

xmax 1 : xmin 0 : 21 line

ymax 1 f : ymin 0 : 21 line

space_x xmax xmin - (: space_y ymax ymin - (: 21 line

x y1 x f :

A function that tests an arbitrary point 
for its membership in the critical region. x y Test y x y1 + 0 ≥ (y x y1 - 0 ≤ (* :

#A0A0A0

t0 1 time :

A routine that finds an array of N random 
pairs in the critical region. Pts the routine is a compressor it maintains density 'N' within the variable region i 1 N range x 1 Random space_x * xmin + 1 el : y 1 Random space_y * ymin + 1 el : 1 x y Test - x 1 Random space_x * xmin + 1 el : y 1 Random space_y * ymin + 1 el : 21 line while P i 1 el x : P i 2 el y : 51 line for P 51 line :

a b c spec . 6 black 13 mat :

fill Pts a b c spec pts :

1 time t0 - 22 s *

x f 1 1.5 1 0.5 - 2 2 mat fill 3 1 sys

ε 1015 -^: b 1 : 12 mat

Σ x f x ε b int :

Σ 0.382598

x y Ω 11 x 2^y 2^* - / :

Symbolic x y Ω y x m x n int x int maple 1 - x n x * + (1 x m x * + (* 1 x n x * + (1 - x m x * + (* / ln 2 x * / - x int

Symbolic x 2^y 2^+ y 0 x int x int maple x 4^3 /