Hoja1PROBLEMA 1: Evalue la integral desde a=0 hasta b=0.8 con su error Et. El valor exacto de la integral es 1.640533f(x)=0.2+25x-200x^2+675x^3-900x^4+400x^5Valor=1.640533Para n=4a=0b=0.8h=0.2Iteracionxf(x)PonderacionProductoEnhIError000.210.287.808840175740.21.48489.492829464610.21.28822.57657.022138536760.13333333331.57026502064.283240838420.42.45624.912199.414885284280.11.60082.421956766530.63.46426.928322.3017763129100.081.615042561.553790140240.80.23210.23285.8582546038SUMA=14.848I=1.4848Para n=6a=0b=0.8h=0.1333333333Iteracionxf(x)PonderacionProductoE000.210.287.808840175710.13333333331.310189300422.620378600859.727271613720.26666666671.432724279822.865448559774.665706795930.42.45624.912199.414885284240.53333333333.487176954726.9743539095325.127315906850.66666666672.874897119325.7497942387250.483302602560.80.23210.23285.8582546038suma=23.5539753086

I=1.5702650206

Para n=8a=0Iteracionxf(x)PonderacionProductoEb=0.8000.210.287.808840175710.11.28922.57857.1440501349h=0.120.21.28822.57657.022138536730.31.60723.21495.911938376140.42.45624.912199.414885284250.53.32526.65305.356064157260.63.46426.928322.301776312970.72.36324.726188.077106647780.80.23210.23285.8582546038Suma=32.016

I=1.6008

Para n=10a=0b=0.8Iteracionxf(x)PonderacionProductoE000.210.287.8088401757h=0.0810.081.2300467222.4600934449.956961548520.161.2969190422.5938380858.109472957930.241.3437209622.6874419263.815169825940.321.7433932823.48678656112.539861130550.42.45624.912199.414885284260.483.1860147226.37202944288.412146540270.563.5396070427.07921408331.519151397780.643.1819289626.36385792287.914045008590.721.9944012823.98880256143.1406475822100.80.23210.23285.8582546038Suma=40.376064I=1.61504256

Hoja2PROBLEMA 2: Resolver el siguiente problema a=0Valor=1.640533b=0.8n=40h=0.02Iteracionxf(x)PonderacionProductoE00.00000.20000010.20000087.808840175710.02000.62525721.25051523.773885682320.04000.92093721.84187412.272896674430.06001.11444722.22889435.864019803340.08001.23004722.46009349.956961548550.10001.28900022.57800057.144050134960.12001.30972922.61945959.671189790170.14001.30796922.61593859.456586365580.16001.29691922.59383858.109472957990.18001.28739922.57479756.9488355309100.20001.28800022.57600057.0221385367110.22001.30524122.61048359.1240505372120.24001.34372122.68744263.8151698259130.26001.40627122.81254271.4407500489140.28001.49411122.98822182.1494258269150.30001.60700023.21400095.9119383761160.32001.74339323.486787112.5398611305170.34001.90059323.801186131.7043253626180.36002.07490324.149806152.9547458052190.38002.26178324.523565175.7375462731200.40002.45600024.912000199.4148852842210.42002.65178525.303571223.2833816814220.44002.84298525.685970246.5928402537230.46003.02321526.046430268.564977358240.48003.18601526.372029288.4121465402250.50003.32500026.650000305.3560641572260.52003.43401726.868035318.6465349981270.54003.50729727.014594327.5801779056280.56003.53960727.079214331.5191513977290.58003.52640727.052813329.9098792892300.60003.46400026.928000322.3017763129310.62003.34968926.699379308.3659737415320.64003.18192926.363858287.9140450085330.66002.96047925.920958260.9167313306340.68002.68655925.373117227.5226673282350.70002.36300024.726000188.0771066477360.72001.99440123.988803143.1406475822370.74001.58728123.17456293.5079586939380.76001.15023122.30046240.2265044348390.78000.69407121.38814115.3847292313400.80000.23200010.23200085.8582546038Suma= 163.893376I=1.63893376

Hoja3PROBLEMA 3: Resolver lo siguiente.f(x)=2e^-1.5xa=0b=0.6n=24Iteracionxf(x)PonderacionProductoE0021248.0894001459h=0.02510.0251.926388835423.85277767093.821199708220.051.855486972723.71097394533.821199708230.0751.787194694223.57438938843.821199708240.11.721415952923.44283190573.821199708250.1251.658058236423.31611647273.821199708260.151.597032437523.1940648753.821199708270.1751.538252728723.07650545753.821199708280.21.481636441422.96327288273.821199708290.2251.427103949422.85420789883.8211997082100.251.374578557622.74915711523.8211997082110.2751.323986393422.64797278683.8211997082120.31.275256303222.55051260653.8211997082130.3251.228319752422.45663950493.8211997082140.351.183110728722.36622145753.8211997082150.3751.139565649522.27913129893.8211997082160.41.097623272222.19524654443.8211997082170.4251.057224608522.11444921713.8211997082180.451.018312841222.03662568243.8211997082190.4750.980833244221.96166648833.8211997082200.50.944733105521.8894662113.8211997082210.5250.909961653421.81992330693.8211997082220.550.876469984921.75293996993.8211997082230.5750.844210996821.6884219936240.60.813139319510.8131393195Suma=63.3066539997I=0.791333175