**TI89**mainRreimman%Z*last0menu/Qggyyggxzzttzzxyyggttzzx dxgg dxy1yy dxy1tt dxzzttpg0menu/Qttggttxzzggzzxggttggzzx dxdx?P#dxtt dxdxy1gg dxdx?P#dxzztmpg0menu/Qttggttxzzggzzxggttggzzx dxdxtt dxy1gg dxzztrhg0menu/Qttggttxzzggzzxggttggzzx dxdxtt dxy1gg dxzztlhg0/ ?#  ;0tpg/gph;mpg/gph;rhg/gph;lhg/gph;gph4. TP graph-S3. MP graph-z2. RH graph-z1. LH graph-znn0newvalsl5*) KV+(**;));l5y1*l5y1) l50//; V ' &drw0menu/QtpzTrapazoidal area:-z dxy1 dxy1ڋdxtpttt-tpct;tpzTrapazoidal area:-zttt-tpct;mpzMidpoint area:-z dxdxy1dxmpttt-mpcm;mpzMidpoint area:-zttt-mpcm;rhzRight hand rectangles:-z dxy1dxrhttt-rhcr;rhzLeft hand rectangles:-zttt-rhcr;lhzLeft hand rectangles:-z dxy1dxlhttt-lhcl;lhzLeft hand rectangles:-zttt-lhcl;dspvals0ctctcmcmcrcrclcl ctCalc Traps? (1=y)-CcmCalc MP rects? (1=y)-CcrCalc RH rects? (1=y)-CclCalc LH rects? (1=y)-Cmeth0last/;nn/ drw/newvals;;meth/;dspvals/;menu/Qt = Trapezoidal area-ztpttt-tp;z = Mid point area-zmp ttt-mp;y = Right hand area-zrh ttt-rh;x = Left hand area-zlhttt-lh;newvals;summit/ Zdx New Upper lim:-S New Lower lim:-Sttt-tpttt-mpttt-rhttt-lhnewvals;summit/ ZdxNew N:-Sttt-tpttt-mpttt-rhttt-lhnewvals;start/newvals; Choice-C8. Quit-b7. View graph-b6. Calc different methods-b5. View values-b4. Store values-b3. Change limits-b2. Change n-b1. Restart-bMenu-Vmenu0QtpzTrapazoidal area:-z dxy1 dxy1ڋdxtpct;mpzMidpoint area:-z dxdxy1dxmpcm;rhzRight hand rectangles:-z dxy1dxrhcr;lhzLeft hand rectangles:-z dxy1dxlhcl;summit0ctctcmcmcrcrclcl Zdx   last/x-x- x- ; ctCalc Traps? (1=y)-CcmCalc MP rects? (1=y)-CcrCalc RH rects? (1=y)-CclCalc LH rects? (1=y)-CMethods-V # of divisions-C Upper limit-C Lower limit-CReimman Sums (v1.2) by Daniel Hayes.-Vttt-tpttt-mpttt-rhttt-lhnewvalsstart0smnewvalsctcmcrcltpttzzggbxbygphdrwpicmprhlhdx }K\