Download - Cálculo de Áreas Por Trazo de Rectángulos Bajo Una Curva

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  • BASE ALTURA REA1 0 01 0 01 0 01 0 01 0 0

    REA TOTAL: 0

    20 FUNCIN y=x^2 56.25DERIVADA y'=2x 15

    X Y Y' y=mx-x^210 90.25 20 93.759 72.25 18 78.758 56.25 16 63.757 42.25 14 48.756 30.25 12 33.755 20.25 10 18.754 12.25 8 3.753 6.25 6 -11.252 2.25 4 -26.251 0.25 2 -41.250 0.25 0 -56.25-1 2.25 -2 -71.25-2 6.25 -4 -86.25-3 12.25 -6 -101.25-4 20.25 -8 -116.25-5 30.25 -10 -131.25-6 42.25 -12 -146.25-7 56.25 -14 -161.25-8 72.25 -16 -176.25-9 90.25 -18 -191.25

    -10 110.25 -20 -206.25

    BASE ALTURA REA BASE ALTURA REA0.25 0 0 0.25 0 00.25 0 0 0.25 0 00.25 0 0 0.25 0 00.25 0 0 0.25 0 00.25 0 0 0.25 0 00.25 0 0 0.25 0 00.25 0 0 0.25 0 0

    y = x2 05 x2 dx = (x3)/3 (53)/3 - (03)/3 = 125/3 u2 41.67-10

    -5

    0

    5

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    30

    rea bajo la curva y = x2 de x = 0 a x = 5

    -10 -8 -6 -4 -2 0 1 2 3 4 5

  • 0.25 0 0 0.25 0 00.25 0 0 0.25 0 00.25 0 0 0.25 0 0

    REA TOTAL: 0

    -10

    -5

    0

    5

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    20

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    30

    rea bajo la curva y = x2 de x = 0 a x = 5

    -10 -8 -6 -4 -2 0 1 2 3 4 5

  • BASE ALTURA REA0.5 0 00.5 0 00.5 0 00.5 0 00.5 0 00.5 0 00.5 0 00.5 0 00.5 0 00.5 0 0

    REA TOTAL: 0

    BASE ALTURA REA0.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 0

    -10

    -5

    0

    5

    10

    15

    20

    25

    30

    rea bajo la curva y = x2 de x = 0 a x = 5

    -10 -8 -6 -4 -2 0 1 2 3 4 5

    -10

    -5

    0

    5

    10

    15

    20

    25

    30

    rea bajo la curva y = x2 de x = 0 a x = 5

    -10 -8 -6 -4 -2 0 1 2 3 4 5

  • 0.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 0

    -10

    -5

    0

    5

    10

    15

    20

    25

    30

    rea bajo la curva y = x2 de x = 0 a x = 5

    -10

    -5

    0

    5

    10

    15

    20

    25

    30

    rea bajo la curva y = x2 de x = 0 a x = 5

    -10 -8 -6 -4 -2 0 1 2 3 4 5

  • 0 0 0 0

    -0.5 40 6 40 10 0 10 100-0.5 35 6 35 5 0 9 81-0.5 30 6 30 0 0 8 64-0.5 25 6 25 -5 0 7 49-0.5 20 6 20 -10 0 6 36-0.5 15 6 15 5 25 0 0 0 0-0.5 10 6 10 4 16 1 0 1 0-0.5 5 6 5 3 9 2 0 2 0-0.5 0 6 0 2 4 3 0 3 0-0.5 -5 6 -5 1 1 4 0 4 0-0.5 -10 6 -10 0 0 5 0 5 13-0.5 -15 6 -15 -1 1 0.5 0 6 15-0.5 -20 6 -20 -2 4 1.5 0 7 17-0.5 -25 6 -25 -3 9 2.5 0 8 19-0.5 -30 6 -30 -4 16 3.5 0-0.5 -35 6 -35 -5 25 4.5 0 0 0-0.5 -40 6 -40 -6 36 0.25 0 1 0-0.5 -45 6 -45 -7 49 1.25 0 2 0-0.5 -50 6 -50 -8 64 2.25 0 3 0-0.5 -55 6 -55 -9 81 3.25 0 4 0-0.5 -60 6 -60 -10 100 4.25 0 4.5 12

    0.25 0 3 91.25 0 3.5 102.25 0 4 113.25 0 4.5 124.25 0 5 13

    BASE ALTURA REA0.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 0

    -10

    -5

    0

    5

    10

    15

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    25

    30

    rea bajo la curva y = x2 de x = 0 a x = 5

    -10 -8 -6 -4 -2 0 1 2 3 4 5

  • 0.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 00.125 0 0

    REA TOTAL: 0

    -10

    -5

    0

    5

    10

    15

    20

    25

    30

    rea bajo la curva y = x2 de x = 0 a x = 5

    -10 -8 -6 -4 -2 0 1 2 3 4 5

  • 0 0 0 0 0 0 0 01 0 0 0 0 0 0 02 0 0 0 0 0 0 03 0 0 0 0 0 0 04 0 0 0 0 0 0 0

    0 0.125 0.25 0.3751 1.125 1.25 1.3752 2.125 2.25 2.3753 3.125 3.25 3.3754 4.125 4.25 4.375

  • 0 0 0 00 0 0 00 0 0 00 0 0 00 0 0 0

    0.5 0.625 0.75 0.8751.5 1.625 1.75 1.8752.5 2.625 2.75 2.8753.5 3.625 3.75 3.8754.5 4.625 4.75 4.875

  • INT 9