Topic 13.3: Romberg Integration (Questions)

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Question 1

Use Romberg integration to approximate the integral of f(x) = cos(x) on the interval [0, 3] and iterate until εstep < 1e-5 or N = 10. Begin with an interval width of with h = 3.

Answer: 0.141120007827708

Question 2

Use Romberg integration to approximate the integral of f(x) = x5 on the interval [0, 4].

Answer: 682.666666666667 (you should have gotten a zero difference at the last step)

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