Question: Use Romberg integration to approximate the integrals in Exercise 1 to within 106. Compute the Romberg table until either |Rn1,n1 Rn,n| In Exercise 1

Use Romberg integration to approximate the integrals in Exercise 1 to within 10ˆ’6. Compute the Romberg table until either |Rnˆ’1,nˆ’1 ˆ’ Rn,n| In Exercise 1

15 r In x dx xed .0.35 dx r--4 r- xsinx dx

15 r In x dx xed .0.35 dx r--4 r- xsinx dx e sin 2x dx 2r 3.5 dx 4 (cosx) dx

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