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3.2 Evaluate the value of e²dz using Simpson's rule.

3.2 Evaluate the value of e²dz using Simpson's rule.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3.2 Evaluate the value of e²dz using Simpson's rule.
Transcribed Image Text:3.2 Evaluate the value of e²dz using Simpson's rule.
Expert Solution
Step 1

Now, ∫abfxdx=∆x3fx0+4fx1+2fx2+4fx3+....+4fxn-1+fxn.

Here ∆x=b-an.

Let n=4.

 

To evaluate ∫02e2xdx.

So ∆x=2-04=12.

Consider:

x0=a=0x1=x0+∆x=0+12=12x2=x1+∆x=12+12=1x3=x2+∆x=1+12=32x4=x3+∆x=32+12=2

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