文件名称:Numerical-analysis4
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对下面每个定积分，构造（手工计算）一个3行的龙贝格表。
(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…
-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 ...
(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…
-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 ...
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