PROBLEMA Determinar el área determinada entre las siientes dos funciones

Función 1

Función 2

X Y X Y

-3.5 -8.1875 -3 -19

-3 -3.5 -2 -10

-2.5 -0.5625 -1 -3

-2 1 0 2

-1.5 1.5625 1 5

-1 1.5 2 6

-0.5 1.1875 3 5

0 1 4 2

0.5 1.3125 5 -3

1 2.5 6 -10

1.5 4.9375

2 9

2.5 15.0625

Función 1 Función 2

𝑦 = 0.5𝑥3 + 𝑥2 + 1𝑦 = −𝑥2 − 4𝑥 + 2

-25

-20

-15

-10

-5

0

5

10

15

20

-4 -2 0 2 4 6 8

x1

Valor de X -0.2 -0.2243 -0.2259

Función 1 1.036 1.04466817 1.04526688

Función 2 1.16 1.05248951 1.04536919

Resta 0.124 0.00782134 0.00010231

x2

Valor de X 1.6 1.6359 1.6361

Función 1 5.608 5.86514109 5.86659844

Función 2 5.84 5.86743119 5.86757679

Resta 0.232 0.0022901 0.00097835

ÁREA BAJO LA CURVA CON RECTANGULOS

Base: 0.14323077

X Función 1 Función 2 Resta Área

Área con

defecto

Área con

Exceso

1 -0.2259 1.04526688 1.04536919 0.00010231 1.4654E-05 1.4654E-05 0.09395038

2 -0.08266923 1.00655171 1.66248888 0.65593716 0.09395038 0.09395038 0.17686131

3 0.06056154 1.00377876 2.23857845 1.23479969 0.17686131 0.17686131 0.24748483

4 0.20379231 1.04576318 2.77363793 1.72787474 0.24748483 0.24748483 0.30455834

5 0.34702308 1.14132015 3.26766729 2.12634715 0.30455834 0.30455834 0.34681923

6 0.49025385 1.2992648 3.72066655 2.42140175 0.34681923 0.34681923 0.37300492

7 0.63348462 1.52841232 4.1326357 2.60422338 0.37300492 0.37300492 0.38185279

8 0.77671538 1.83757785 4.50357475 2.6659969 0.38185279 0.38185279 0.37210024

9 0.91994615 2.23557657 4.83348369 2.59790712 0.37210024 0.37210024 0.34248466

10 1.06317692 2.73122362 5.12236252 2.3911389 0.34248466 0.34248466 0.29174347

11 1.20640769 3.33333417 5.37021125 2.03687708 0.29174347 0.29174347 0.21861405

12 1.34963846 4.05072339 5.57702987 1.52630648 0.21861405 0.21861405 0.12183381

13 1.49286923 4.89220642 5.74281838 0.85061196 0.12183381 0.12183381 0.00014013

14 1.6361 5.86659844 5.86757679 0.00097835 0.00014013 Total 3.27132268 3.27144816

Área Total 3.27138542