Sumas de Rieman
Enviado por BalbinaPradis • 6 de Abril de 2017 • Prácticas o problemas • 3.192 Palabras (13 Páginas) • 194 Visitas
[pic 1]
UNIDAD 1
ACTIVIDAD 2: Sumas de Rimann
MAESTRO
ALUMNA:
MATRICULA:
FECHA:
1.- f(x)= x2, [0, 3], para Δ: x0 = 0, x1 = ½, x2 = 1 ¼, x3 = 2 ¼, x4 = 3.
a, b
[0,3]
ΔX= b-a = 3-0 = 3
n n n
xi= a+i. ΔX
xi= 0+i . 3 = 3i = 3i 3n(3) = 3(3) = 9 n
n n n n
Y
1/4[pic 2][pic 3][pic 4][pic 5][pic 6]
2
1/4[pic 7][pic 8][pic 9]
1
1/2 [pic 10][pic 11][pic 12][pic 13]
X[pic 14][pic 15][pic 16][pic 17]
0 1 2 3
2.- f(x)= x2 [0 , 3] para Δ: x0 = 0, x1 = 3/4, x2 = 1 ¼, x3 = 2, x4 = 2 3/4, x5 = 3.
a, b
[0,3]
ΔX= b-a = 3-0 = 3
n n n
xi= a+i. ΔX
xi= 0+i. 3 = 3i 3n(3i) = 3(3) = 9 n
n n n
[pic 18]
3 [pic 19][pic 20][pic 21][pic 22][pic 23][pic 24]
2 3/4 [pic 25][pic 26][pic 27][pic 28]
2 [pic 29][pic 30][pic 31]
1 1/4[pic 32][pic 33][pic 34]
1
3/4 [pic 35][pic 36][pic 37]
0 1 2 3 4 5 X[pic 38][pic 39]
3.- f(x)= 1/x [1 , 3] para 4 intervalos iguales
a, b
[1,3]
ΔX= b-a = 3-1 = 2
n n n
xi= a+i. ΔX
xi= 1+i. 2 = 1(2i) = 2i
n n n
f(xi). ΔX= 1 (2) = 2 = 0.5 n
2i n 4
n n
[pic 40][pic 41]
[pic 42]
4 [pic 43][pic 44][pic 45][pic 46]
3 [pic 47][pic 48][pic 49][pic 50]
2[pic 51][pic 52][pic 53]
1 [pic 54][pic 55][pic 56]
0 1 2 3 4 X[pic 57][pic 58]
...