Evaluate the following integral with (a) Romberg integration (s = 0.5%), (b) the

Chapter 20, Problem 20.3

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QUESTION:

Evaluate the following integral with

(a) Romberg integration \(\left(\varepsilon_{s}=0.5 \%\right)\),

(b) the two-point Gauss quadrature formula, and

(c) MATLAB quad and quad1 functions:

\(I=\int_0^3xe^{2x}\ dx\)

Questions & Answers

QUESTION:

Evaluate the following integral with

(a) Romberg integration \(\left(\varepsilon_{s}=0.5 \%\right)\),

(b) the two-point Gauss quadrature formula, and

(c) MATLAB quad and quad1 functions:

\(I=\int_0^3xe^{2x}\ dx\)

ANSWER:

Step 1 of 5

Given integral and its solution is,

Solve the above integral as,

Consider:

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