Evaluate the following integral 2 I = (4x3 – 3x2 +x – 1)dx, | -1 2.1. analytically 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Evaluate the following integral
=| (4x3 – 3x2 + x – 1)dx,
2.1. analytically
2.2. using sinale and two segments trapezoidal rule. Then estimate the integral using the Romberg
algorithm
2.3. multiple-application Simpson's 1/3 rule (4 segments).
What are the limitations of this technique?
2.4. two-point Gauss-Legendre formulas
Transcribed Image Text:Evaluate the following integral =| (4x3 – 3x2 + x – 1)dx, 2.1. analytically 2.2. using sinale and two segments trapezoidal rule. Then estimate the integral using the Romberg algorithm 2.3. multiple-application Simpson's 1/3 rule (4 segments). What are the limitations of this technique? 2.4. two-point Gauss-Legendre formulas
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