exp(x) の 区間 (0,1) での定積分［ロンバーグの公式］

  (m = 0)  [DAIKEI]
         1  1.859140914229523  (1.081976706869326)
         2  1.753931092464825  (1.020747041268399)
         4  1.727221904557517  (1.005202916046950)
         8  1.720518592164302  (1.001301744375230)
        16  1.718841128579994  (1.000325499642542)
        32  1.718421660316328  (1.000081378883817)
 
  (m = 1)  [Simpson]
         2  1.718861151876593  (1.000337152734757)
         4  1.718318841921747  (1.000021540973133)
         8  1.718284154699897  (1.000001353817990)
        16  1.718281974051892  (1.000000084731645)
        32  1.718281837561772  (1.000000005297575)
 
  (m = 2)  [Deg- 4 Polynomial]
         4  1.718282687924758  (1.000000500189025)
         8  1.718281842218440  (1.000000008007647)
        16  1.718281828675358  (1.000000000125889)
        32  1.718281828462431  (1.000000000001970)
 
  (m = 3)  [Deg- 8 Polynomial]
         8  1.718281828794531  (1.000000000195244)
        16  1.718281828460389  (1.000000000000782)
        32  1.718281828459051  (1.000000000000003)
 
  (m = 4)  [Deg-16 Polynomial]
        16  1.718281828459078  (1.000000000000019)
        32  1.718281828459046  (1.000000000000000)
 
  (m = 5)  [Deg-32 Polynomial]
        32  1.718281828459046  (1.000000000000000)