73f0bf3d-5219-4ff4-8d99-fb0bb9947ab5 8 4 5 decimal

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METHOD OF INTEGRATION OF ROMBERG

Lower Limit a 0 :

Upper Limit b 2 :

Number of Steps n 20 :

Function x f x sqrt exp :

n 0 ≤ l 1 incorrect n value : el n 1 ≡ h b a - n / : l n el h 2 / a f b f + (* : break 31 line h b a - 1 / : l 1 el h 2 / a f b f + (* : 21 line cont 2 : cont2 0 : j 2 n range h b a - 2 j 1 -^/ : cont2 cont2 2 j 2 -^+ : l cont el h 2 / a f 2 a z h * + f z 1 cont2 sum * + b f + (* : cont cont 1 + : 41 line for i 2 n range cont 1 : j 1 l length 1 - (range l cont el 4 i 1 -^4 i 1 -^1 - / l j 1 + el * 14 i 1 -^1 - / l j el * - : cont cont 1 + : 21 line for l l 1 n i 1 - (- 11 submatrix : 31 line for 41 line 21 line if if

e 0.25 2^^1.0645

e 0.5 2^^1.284

e 0.75 2^^1.7551

Solution l 5.40752818414526 11 mat

x sqrt exp x a b int 5.4074470235