Expression 9: "C" Subscript, 4 , Baseline equals Start integral from StartFraction, left parenthesis, "C" left bracket, 4 , right bracket plus "C" left bracket, 5 , right bracket , right parenthesis Over 2 , EndFraction to StartFraction, left parenthesis, "C" left bracket, 5 , right bracket plus "C" left bracket, 6 , right bracket , right parenthesis Over 2 , EndFraction , end integral, StartFraction, 1 Over StartRoot, 2 pi , EndRoot , EndFraction "e" Superscript, negative StartFraction, "x" squared Over 2 , EndFraction , Baseline "d" "x"C4=∫C5+C62C4+C5212πe−x22dx
equals=
0.0 7 8 7 8 8 2 5 9 5 7 8 30.0787882595783
9
Expression 10: "C" Subscript, 5 , Baseline equals Start integral from StartFraction, left parenthesis, "C" left bracket, 5 , right bracket plus "C" left bracket, 6 , right bracket , right parenthesis Over 2 , EndFraction to StartFraction, left parenthesis, "C" left bracket, 6 , right bracket plus "C" left bracket, 7 , right bracket , right parenthesis Over 2 , EndFraction , end integral, StartFraction, 1 Over StartRoot, 2 pi , EndRoot , EndFraction "e" Superscript, negative StartFraction, "x" squared Over 2 , EndFraction , Baseline "d" "x"C5=∫C6+C72C5+C6212πe−x22dx
equals=
0.1 3 1 9 1 2 5 3 5 4 7 60.131912535476
10
Expression 11: "C" Subscript, 6 , Baseline equals Start integral from StartFraction, left parenthesis, "C" left bracket, 6 , right bracket plus "C" left bracket, 7 , right bracket , right parenthesis Over 2 , EndFraction to StartFraction, left parenthesis, "C" left bracket, 7 , right bracket plus "C" left bracket, 8 , right bracket , right parenthesis Over 2 , EndFraction , end integral, StartFraction, 1 Over StartRoot, 2 pi , EndRoot , EndFraction "e" Superscript, negative StartFraction, "x" squared Over 2 , EndFraction , Baseline "d" "x"C6=∫C7+C82C6+C7212πe−x22dx
equals=
0.1 1 8 9 0 6 9 0 0 7 8 40.118906900784
11
Expression 12: "C" Subscript, 7 , Baseline equals Start integral from StartFraction, left parenthesis, "C" left bracket, 7 , right bracket plus "C" left bracket, 8 , right bracket , right parenthesis Over 2 , EndFraction to StartFraction, left parenthesis, "C" left bracket, 8 , right bracket plus "C" left bracket, 9 , right bracket , right parenthesis Over 2 , EndFraction , end integral, StartFraction, 1 Over StartRoot, 2 pi , EndRoot , EndFraction "e" Superscript, negative StartFraction, "x" squared Over 2 , EndFraction , Baseline "d" "x"C7=∫C8+C92C7+C8212πe−x22dx
equals=
0.0 7 8 5 5 9 6 1 2 7 6 6 70.0785596127667
12
Expression 13: "C" Subscript, 8 , Baseline equals Start integral from StartFraction, left parenthesis, "C" left bracket, 8 , right bracket plus "C" left bracket, 9 , right bracket , right parenthesis Over 2 , EndFraction to StartFraction, left parenthesis, "C" left bracket, 9 , right bracket plus "C" left bracket, 10 , right bracket , right parenthesis Over 2 , EndFraction , end integral, StartFraction, 1 Over StartRoot, 2 pi , EndRoot , EndFraction "e" Superscript, negative StartFraction, "x" squared Over 2 , EndFraction , Baseline "d" "x"C8=∫C9+C102C8+C9212πe−x22dx
equals=
0.1 0 5 0 1 4 3 7 6 2 0 50.105014376205
13
Expression 14: "C" Subscript, 9 , Baseline equals Start integral from StartFraction, left parenthesis, "C" left bracket, 9 , right bracket plus "C" left bracket, 10 , right bracket , right parenthesis Over 2 , EndFraction to StartFraction, left parenthesis, "C" left bracket, 10 , right bracket plus "C" left bracket, 11 , right bracket , right parenthesis Over 2 , EndFraction , end integral, StartFraction, 1 Over StartRoot, 2 pi , EndRoot , EndFraction "e" Superscript, negative StartFraction, "x" squared Over 2 , EndFraction , Baseline "d" "x"C9=∫C10+C112C9+C10212πe−x22dx
equals=
0.0 4 7 8 1 5 2 9 4 5 3 8 40.0478152945384
14
Expression 15: "C" Subscript, 10 , Baseline equals Start integral from StartFraction, left parenthesis, "C" left bracket, 10 , right bracket plus "C" left bracket, 11 , right bracket , right parenthesis Over 2 , EndFraction to StartFraction, left parenthesis, "C" left bracket, 11 , right bracket plus "C" left bracket, 12 , right bracket , right parenthesis Over 2 , EndFraction , end integral, StartFraction, 1 Over StartRoot, 2 pi , EndRoot , EndFraction "e" Superscript, negative StartFraction, "x" squared Over 2 , EndFraction , Baseline "d" "x"C10=∫C11+C122C10+C11212πe−x22dx
equals=
0.1 0 7 2 7 3 2 3 3 9 1 20.107273233912
15
Expression 16: max left parenthesis, "C" Subscript, 1 , Baseline , "C" Subscript, 2 , Baseline , "C" Subscript, 3 , Baseline , "C" Subscript, 4 , Baseline , "C" Subscript, 5 , Baseline , "C" Subscript, 5 , Baseline , "C" Subscript, 6 , Baseline , "C" Subscript, 7 , Baseline , "C" Subscript, 8 , Baseline , "C" Subscript, 9 , Baseline , "C" Subscript, 10 , Baseline , right parenthesis equals Start integral from StartFraction, left parenthesis, "C" left bracket, "a" minus 1 , right bracket plus "C" left bracket, "a" , right bracket , right parenthesis Over 2 , EndFraction to StartFraction, left parenthesis, "C" left bracket, "a" , right bracket plus "C" left bracket, "a" plus 1 , right bracket , right parenthesis Over 2 , EndFraction , end integral, StartFraction, 1 Over StartRoot, 2 pi , EndRoot , EndFraction "e" Superscript, negative StartFraction, "x" squared Over 2 , EndFraction , Baseline "d" "x"maxC1,C2,C3,C4,C5,C5,C6,C7,C8,C9,C10=∫Ca+Ca+12Ca−1+Ca212πe−x22dx
16
Expression 17: "C" left bracket, "a" , right bracketCa
