Expression 5: "D" Subscript, "e" "l" "t" "a" , Baseline equals StartFraction, pi Over "n" , EndFractionDelta=πn
equals=
3.1 4 1 5 9 2 6 5 3 5 93.14159265359
5
Expression 6: "i" equals left bracket, 0 , ... , "n" minus 1 , right bracketi=0,...,n−1
equals=
00
6
Expression 7: "y" equals StartFraction, left parenthesis, left parenthesis, "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis sin left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , right parenthesis minus "r" left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis sin left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , right parenthesis Over "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis minus "r" left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , EndFraction "x" positive left parenthesis, "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis sin left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis minus StartFraction, left parenthesis, left parenthesis, "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis sin left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , right parenthesis minus "r" left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis sin left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , right parenthesis Over "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis minus "r" left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , EndFraction "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , right parenthesis left brace, "r" left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis less than "x" less than "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , right bracey=ri+1Deltasini+1Delta−riDeltasiniDeltari+1Deltacosi+1Delta−riDeltacosiDeltax+ri+1Deltasini+1Delta−ri+1Deltasini+1Delta−riDeltasiniDeltari+1Deltacosi+1Delta−riDeltacosiDeltari+1Deltacosi+1DeltariDeltacosiDelta<x<ri+1Deltacosi+1Delta
7
Expression 8: "y" equals StartFraction, left parenthesis, left parenthesis, "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis sin left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , right parenthesis minus "r" left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis sin left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , right parenthesis Over "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis minus "r" left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , EndFraction "x" positive left parenthesis, "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis sin left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis minus StartFraction, left parenthesis, left parenthesis, "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis sin left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , right parenthesis minus "r" left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis sin left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , right parenthesis Over "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis minus "r" left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , EndFraction "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , right parenthesis left brace, "r" left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, left parenthesis, "i" plus 1 , right parenthesis "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis less than "x" less than "r" left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis cos left parenthesis, "i" "D" Subscript, "e" "l" "t" "a" , Baseline , right parenthesis , right bracey=ri+1Deltasini+1Delta−riDeltasiniDeltari+1Deltacosi+1Delta−riDeltacosiDeltax+ri+1Deltasini+1Delta−ri+1Deltasini+1Delta−riDeltasiniDeltari+1Deltacosi+1Delta−riDeltacosiDeltari+1Deltacosi+1Deltari+1Deltacosi+1Delta<x<riDeltacosiDelta