For each of the following definite integrals, construction (manual calculation) a third line Romberg table. (1) ∫ (0,3) sin (2x)/(1+x ^ 2) dx = 0.4761463020 ... (2) ∫ (0,3) sin (4x) e ^ (- 2x) dx = 0.1997146621 ... (3) ∫ (0.04,1) 1/x ^ (1/2) dx = 1.6 (4) ∫ (0,2) 1/(x ^ 2+1/10) dx = 4.4713993943 ... (5) ∫ (1/(2π), 2) sin (1/x) dx = 1.1140744942 ... (6) ∫ (0,2) (4-x ^ 2) ^ (1/2) dx = 3.1415926535

Numerical analysis4.doc

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