integrales
TRANSCRIPT
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