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ilovexiaomu

½ð³æ (СÓÐÃûÆø)

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Clear["Global`*"];
f[x_] := x^2 + y;
n = 20; a = 0; b = 1; ya = 2; yb = 3;
ssx1 = Sum[(1 + (-1)^i)*f[a + i*(b - a)/n], {i, 1,
   n - 1}];(*ss1=2y2+2y4+\[Ellipsis]+2yn-2*)
ssx2 = Sum[(1 - (-1)^i)*f[a + i*(b - a)/n], {i, 1,
   n - 1}];
sxy[y_] :=
N[(f[a] + f + ssx1 + 2 ssx2)*(b - a)/3/n, 2] // FullSimplify;
ssy1 = Sum[(1 + (-1)^i)*sxy[ya + i*(yb - ya)/n], {i, 1,
   n - 1}];
ssy2 = Sum[(1 - (-1)^i)*sxy[ya + i*(yb - ya)/n], {i, 1,
   n - 1}];
s = N[(sxy[ya] + sxy[yb] + ssy1 + 2 ssy2)*(yb - ya)/3/n, 2] //
  FullSimplify;
Print["s=", s]
Integrate[sxy[y], {y, 2, 3}]
Êä³ö½á¹ûΪʲô»á³öÏÖ²»Ò»ÑùµÄÇé¿öÄØ£¿
s=0.33+1.0 y

Out[199]= 2.8
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ilovexiaomu

½ð³æ (СÓÐÃûÆø)

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