tyinthehouse tyinthehouse

10-08-2021
Mathematics

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Apply Simpson's rule to approximate the value of integration 1 to 4 e^x In x dx with n = 3.

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Selena328 Selena328

10-08-2021

[tex]Here, h=41,0.25,y=1+x21

[/tex]

[tex]x y101.020.25 0.9413 0.250.94140.750.64510.5

[/tex]

[tex]By Simpson's Rule:

[/tex]

[tex]∫011+x2dx=4×31

[/tex]

[tex][(1+0.5)+4(0.941+0.941+0.64)+2(0.8)]

[/tex]

[tex]=121[9.424]=0.785

[/tex]

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