Figure Cabri II Plus vers. MS-Windows 1.2.4.8 Window center x: 0.00cm y: 0.61cm Window size x: 26.50cm y: 16.03cm Resolution: 38 ppc 1: Pt, Val: 0 0 2: Axes, Const: 1, cart, Val: 1 0 0 1 color:dBr, 3: Exp_num, Val: 8 -257 0, nA, nP, "x^2+1" TP: 0.210526315789474, 6.76315789473684, TS: 1.07894736842105, 0.473684210526316 p: 0, Arial, S: 12 C: 15 Fa: 0 Ma: Expression, Const: 2 i: 0 3 i: 0 12: Ma R, F No1, lk pts, locus, nb pts: 0, Ma: Expression, Const: 2 i: 0 3 i: 0 21: Ma R, F No1, lk pts, locus, nb pts: 200, color:Bl, 22: Pt/, Const: 2, axis:x, Val: -1.47368421052632 0 color:Bl, "A" TP: -1.78947368421053, -0.0789473684210526, TS: 0.605263157894737, 0.473684210526316 p: 0, Arial, S: 12 C: 15 Fa: 0 23: Eq/Co, Const: 22, 2, X2PXYPY2EG0, cart, Val: 0 0 -1.47368, A, P, NbD:2, FD, WU, p: 0, Arial, S: 12 C: 40 Fa: 0 24: Text, Const: 22, inc.elmts: 23, Val: -54 3 0, nA, nP, "("#)" TP: -1.42105263157895, -0.0789473684210526, TS: 1.21052631578947, 0.473684210526316 p: 0, Arial, S: 12 C: 15 Fa: 0 25: Perp, Const: 22, 2, axis:x, color:Gr, invisible, 27: Int, Const: 25, 21, int ind:0, invisible, 28: Seg, Const: 22, 27, color:Gr, DS:5 8, 29: Pt/, Const: 2, axis:x, Val: 2.28947368421053 0 color:Bl, "B" TP: 2.05263157894737, -0.0789473684210526, TS: 0.605263157894737, 0.473684210526316 p: 0, Arial, S: 12 C: 15 Fa: 0 30: Eq/Co, Const: 29, 2, X2PXYPY2EG0, cart, Val: 0 0 2.28947, A, P, NbD:2, FD, WU, p: 0, Arial, S: 12 C: 40 Fa: 0 31: Text, Const: 29, inc.elmts: 30, Val: 91 2 0, nA, nP, "("#)" TP: 2.39473684210526, -0.0526315789473684, TS: 1.07894736842105, 0.473684210526316 p: 0, Arial, S: 12 C: 15 Fa: 0 32: Perp, Const: 29, 2, axis:x, color:Gr, invisible, 34: Int, Const: 32, 21, int ind:0, invisible, 35: Seg, Const: 29, 34, color:Gr, DS:5 8, 36: Num, Val: 310 -248 9, nA, nP, NbD:2, nFD, WU, 9 TP: 8.1578947368421, 6.52631578947368, TS: 0.236842105263158, 0.473684210526316 p: 0, Arial, S: 12 C: 15 Fa: 0 37: Pt/, Const: 2, axis:y, on mark, Val: 0 -2 color:dBr, invisible, "O" TP: -0.342105263157895, -2, TS: 0.473684210526316, 0.473684210526316 p: 0, Arial, S: 12 C: 19 Fa: 0 38: Ray, Const: 37, Val: 1 0 color:Gr, invisible, 39: Formula, Const: 36, Val: 188 -146 8, A, P, NbD:2, nFD, WU, a - 1 TP: 4.94736842105263, 3.84210526315789, TS: 0.815789473684211, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 40: Text, inc.elmts: 39, Val: 188 -146 0, nA, nP, invisible, "n-1 = "#" TP: 4.94736842105263, 3.84210526315789, TS: 1.84210526315789, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 41: Transf, Const: 38, 39, color:dBr, invisible, "n-1" TP: 7.78947368421053, -1.97368421052632, TS: 0.842105263157895, 0.473684210526316 p: 0, Arial, S: 12 C: 19 Fa: 0 42: Seg, Const: 37, 41, color:dBr, invisible, 43: Exp_num, Val: -315 164 0, nA, nP, invisible, "sign(max(n,0)) * (floor(i)/n * (B - A) + A)" TP: -8.28947368421053, -4.31578947368421, TS: 7, 0.473684210526316 p: 0, Arial, S: 12 C: 19 Fa: 0 44: Text, Val: 17 137 0, nA, nP, invisible, "xi =" TP: 0.447368421052632, -3.60526315789474, TS: 0.842105263157895, 0.552631578947368 p: 0, Arial, S: 12, C: 19, Fa: 0, p: 1, Arial, S: 8, C: 19, Fa: 8192, p: 2, Arial, S: 12, C: 19, Fa: 0, p: 4, System, S: 10, C: 40, Fa: 1 45: Text, Val: 6 163 0, nA, nP, invisible, "xi+1 =" TP: 0.157894736842105, -4.28947368421053, TS: 1.15789473684211, 0.552631578947368 p: 0, Arial, S: 12, C: 19, Fa: 0, p: 1, Arial, S: 8, C: 19, Fa: 8192, p: 4, Arial, S: 12, C: 19, Fa: 0, p: 6, System, S: 10, C: 40, Fa: 1 46: Text, Val: 175 135 0, nA, nP, invisible, "f(xi) =" TP: 4.60526315789474, -3.55263157894737, TS: 1.21052631578947, 0.552631578947368 p: 0, Arial, S: 12, C: 19, Fa: 0, p: 3, Arial, S: 8, C: 19, Fa: 8192, p: 4, Arial, S: 12, C: 19, Fa: 0, p: 7, System, S: 10, C: 40, Fa: 1 47: Pt/, Const: 42, Val: 1.31578947368421 -2 invisible, "i" TP: 1.28947368421053, -1.42105263157895, TS: 0.236842105263158, 0.473684210526316 p: 0, Arial, S: 12 C: 7 Fa: 0 48: Eq/Co, Const: 47, 2, X2PXYPY2EG0, cart, Val: 0 0 1.31579, A, P, NbD:2, FD, WU, p: 0, Arial, S: 12 C: 40 Fa: 0 49: Formula, Const: 48, Val: 202 -109 2.31579, A, P, NbD:2, nFD, WU, a + 1 TP: 5.31578947368421, 2.86842105263158, TS: 0.815789473684211, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 50: Exp_num_App, Const: 23, 30, 49, 36, 43, Val: 48 162 -0.637427, nA, nP, invisible, NbD:2, nFD, WU, TP: 1.26315789473684, -4.26315789473684, TS: 0.947368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 19 Fa: 0 51: Transf, Const: 2, 50, axis:x, color:dBr, invisible, "xi+1" TP: -0.473684210526316, 0.263157894736842, TS: 0.736842105263158, 0.552631578947368 p: 0, Arial, S: 12, C: 19, Fa: 0, p: 1, Arial, S: 8, C: 19, Fa: 8192, p: 4, System, S: 10, C: 40, Fa: 1 52: Perp, Const: 51, 2, axis:x, color:Gr, invisible, 53: Text, inc.elmts: 49, Val: 187 -121 0, nA, nP, invisible, "i+1 = "#" TP: 4.92105263157895, 3.18421052631579, TS: 1.84210526315789, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 54: Exp_num_App, Const: 23, 30, 48, 36, 43, Val: 46 136 -1.05556, nA, nP, invisible, NbD:2, nFD, WU, TP: 1.21052631578947, -3.57894736842105, TS: 0.947368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 19 Fa: 0 55: Exp_num_App, Const: 54, 3, Val: 217 135 2.1142, nA, nP, invisible, NbD:2, nFD, WU, TP: 5.71052631578947, -3.55263157894737, TS: 0.815789473684211, 0.473684210526316 p: 0, Arial, S: 12 C: 19 Fa: 0 56: Transf, Const: 2, 55, axis:y, invisible, "f(xi)" TP: -0.210526315789474, 2.23684210526316, TS: 0.815789473684211, 0.473684210526316 p: 0, Arial, S: 12 C: 7 Fa: 0 57: Perp, Const: 56, 2, axis:y, color:Gr, invisible, 59: Int, Const: 52, 57, int ind:0, invisible, 60: Transf, Const: 2, 54, axis:x, color:dBr, invisible, "xi" TP: -1.34210526315789, 0.263157894736842, TS: 0.315789473684211, 0.552631578947368 p: 0, Arial, S: 12, C: 19, Fa: 0, p: 1, Arial, S: 8, C: 19, Fa: 8192, p: 2, System, S: 10, C: 40, Fa: 1 61: Perp, Const: 60, 2, axis:x, color:Gr, invisible, 63: Int, Const: 61, 57, int ind:0, invisible, 64: Pol, Const: 60, 51, 59, 63, color:gor, invisible, 65: Text, Const: 47, inc.elmts: 48, Val: 35 82 0, nA, nP, invisible, "("#)" TP: 0.921052631578947, -2.15789473684211, TS: 1.07894736842105, 0.473684210526316 p: 0, Arial, S: 12 C: 7 Fa: 0 66: Locus, Const: 47 64, unlk pts, locus, nb pts: 200, color:gor, invisible, 67: Exp_num_App, Const: 50, 3, Val: 216 161 1.40631, nA, nP, invisible, NbD:2, nFD, WU, TP: 5.68421052631579, -4.23684210526316, TS: 0.815789473684211, 0.473684210526316 p: 0, Arial, S: 12 C: 19 Fa: 0 68: Transf, Const: 2, 67, axis:y, invisible, 69: Perp, Const: 68, 2, axis:y, color:Gr, invisible, 71: Int, Const: 69, 61, int ind:0, invisible, 73: Int, Const: 69, 52, int ind:0, invisible, 74: Pol, Const: 60, 51, 73, 71, color:meo, invisible, 75: Locus, Const: 47 74, unlk pts, locus, nb pts: 200, color:meo, invisible, 76: Formula, Const: 54, 50, Val: -215 193 -0.846491, A, P, NbD:2, nFD, WU, (a + b) / 2 TP: -5.65789473684211, -5.07894736842105, TS: 0.947368421052632, 0.473684210526316 p: 0, Arial, S: 12 C: 40 Fa: 0 77: Text, inc.elmts: 76, Val: 13 190 0, nA, nP, invisible, "xM = "#" TP: 0.342105263157895, -5, TS: 2.05263157894737, 0.552631578947368 p: 0, Arial, S: 12, C: 19, Fa: 0, p: 1, Arial, S: 8, C: 19, Fa: 8192, p: 2, Arial, S: 12, C: 19, Fa: 0, p: 8, System, S: 10, C: 40, Fa: 1 78: Exp_num_App, Const: 76, 3, Val: 217 190 1.71655, nA, nP, invisible, NbD:2, nFD, WU, TP: 5.71052631578947, -5, TS: 0.815789473684211, 0.473684210526316 p: 0, Arial, S: 12 C: 19 Fa: 0 79: Transf, Const: 2, 78, axis:y, invisible, 80: Perp, Const: 79, 2, axis:y, color:Gr, invisible, 82: Int, Const: 80, 61, int ind:0, invisible, 84: Int, Const: 80, 52, int ind:0, invisible, 85: Pol, Const: 60, 51, 84, 82, color:lig, thicker, invisible, 86: Locus, Const: 47 85, unlk pts, locus, nb pts: 200, color:lig, invisible, 87: Text, Val: 163 162 0, nA, nP, invisible, "f(xi+1) = " TP: 4.28947368421053, -4.26315789473684, TS: 1.52631578947368, 0.552631578947368 p: 0, Arial, S: 12, C: 19, Fa: 0, p: 3, Arial, S: 8, C: 19, Fa: 8192, p: 6, Arial, S: 12, C: 19, Fa: 0 88: Text, Val: 169 190 0, nA, nP, invisible, "f(xM) = " TP: 4.44736842105263, -5, TS: 1.36842105263158, 0.552631578947368 p: 0, Arial, S: 12, C: 19, Fa: 0, p: 3, Arial, S: 8, C: 19, Fa: 8192, p: 4, Arial, S: 12, C: 19, Fa: 0 89: Pol, Const: 60, 51, 73, 63, color:crs, invisible, 90: Locus, Const: 47 89, unlk pts, locus, nb pts: 200, color:crs, invisible, 91: Text, Val: -40 -257 0, nA, nP, "f(x) = " TP: -1.05263157894737, 6.76315789473684, TS: 0.973684210526316, 0.947368421052632 p: 0, Arial, S: 12 C: 15 Fa: 0 92: Text, Val: 274 -249 0, nA, nP, "n = " TP: 7.21052631578947, 6.55263157894737, TS: 0.815789473684211, 0.473684210526316 p: 0, Arial, S: 12 C: 15 Fa: 0 93: Text, Val: -345 164 0, nA, nP, invisible, "xi = " TP: -9.07894736842105, -4.31578947368421, TS: 0.815789473684211, 0.552631578947368 p: 0, Arial, S: 12, C: 19, Fa: 0, p: 1, Arial, S: 8, C: 19, Fa: 8192, p: 2, Arial, S: 12, C: 19, Fa: 0, p: 5, System, S: 10, C: 40, Fa: 1 94: Button, ass.elmts: 66, Val: -424 -230 0, nA, nP, fill color:gor, pushed, "Rettangoli a sinistra" TP: -11.1578947368421, 6.05263157894737, TS: 3.65789473684211, 0.473684210526316 p: 0, Arial, S: 12 C: 31 Fa: 0 95: Button, ass.elmts: 86, Val: -425 -197 0, nA, nP, fill color:lig, pushed, "Rettangoli al centro" TP: -11.1842105263158, 5.18421052631579, TS: 3.71052631578947, 0.473684210526316 p: 0, Arial, S: 12 C: 31 Fa: 0 96: Button, ass.elmts: 75, Val: -425 -164 0, nA, nP, fill color:plm, pushed, "Rettangoli a destra" TP: -11.1842105263158, 4.31578947368421, TS: 3.71052631578947, 0.473684210526316 p: 0, Arial, S: 12 C: 31 Fa: 0 97: Button, ass.elmts: 90, Val: -426 -127 0, nA, nP, fill color:R, pushed, "Trapezi" TP: -11.2105263157895, 3.34210526315789, TS: 3.73684210526316, 0.473684210526316 p: 0, Arial, S: 12 C: 31 Fa: 0 98: Text, Val: -413 55 0, nA, nP, color:gor, invisible, "Visualizza solo i rettangoli al centro e osserva le variazioni che si ottengono trascinando il ""cursore i"" sul segmento di estremi O ed n -1" TP: -10.8684210526316, -1.44736842105263, TS: 8.39473684210526, 1.42105263157895 p: 0, Arial, S: 12 C: 19 Fa: 0 99: Button, ass.elmts: 98, 93, 43, 44, 54, 45, 50, 77, 46, 55, 87, 67, 88, 78, 37, 47, 65, 42, 41, 51, 60, 85, Val: -432 -31 0, nA, nP, fill color:kki, pushed, "Mostra la costruzione" TP: -11.3684210526316, 0.815789473684211, TS: 3.97368421052632, 0.5 p: 0, Arial, S: 12 C: 19 Fa: 0 100: Text, Val: -462 -290 0, nA, nP, "METODI DI INTEGRAZIONE:" TP: -12.1578947368421, 7.63157894736842, TS: 7.23684210526316, 0.578947368421053 p: 0, Arial, S: 14, C: 30, Fa: 4, p: 23, System, S: 10, C: 30, Fa: 1 101: Text, Val: 233 -289 0, nA, nP, "SUDDIVISIONE DI [A,B]:" TP: 6.13157894736842, 7.60526315789474, TS: 5.92105263157895, 0.578947368421053 p: 0, Arial, S: 14, C: 30, Fa: 4, p: 22, System, S: 10, C: 30, Fa: 1 102: Text, Val: 219 -172 0, nA, nP, color:skb, fill color:pat, "Puoi spostare i punti A e B e puoi modificare l'espressione della funzione f(x). Scegli un metodo di integrazione e clicca sul relativo pulsante. Varia n cliccando due volte sul numero e osserva cosa succede" TP: 5.76315789473684, 4.52631578947368, TS: 6.26315789473684, 3.31578947368421 p: 0, Arial, S: 12 C: 31 Fa: 0