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Math 1B (Calculus): Errors in Approximate Integration Notes

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In-depth notes on Errors in Approximate Integration taught by UC Berkeley's favorite math professor!

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University Of California - Berkeley
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MATH 1B (MATH1B)








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James Stewart Calculus
  • januari 2015
  • 9781285741550
  • 1

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University Of California - Berkeley
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MATH 1B (MATH1B)
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July 18, 2024
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2023/2024
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-EurorsinApproximateIntegrationGeneralPictureApproximateValueTrueValue1111ImaginewefindanapproximationAVtosomequantityTVDefinitiontheapproximationerror-Error=TV-AV=>TV=Ar+Error+ErrorError>0=>->=AVTVInthunderestimate-+ErrorError c0=-=>AVXTVAVoverestimate-Error=0=7IAV=TVAV=5TV=6~underestimate1↓Example6,Av=5=Error=6-3=koOverandUnderestimatesinApprox.Int.-increasingon29,b)=>Lx Rnf(x))0fdecreasingon[a,b]=>Rn<f(x)dx<Inf(x)0ExampleAreLandR=overorunderestimatetoxdx?f(x)=x=f(x)=2x=f(x)20on(2,-1)=>R=SLe
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