decrease_h

decrease_h:
  Look at how trapezoid quadrature error behaves as we
  decrease interval width h

 k     xleft     xright     int         quad       error     rate

 0  -1.000000  1.000000      2.3504     3.08616    0.735759  0.0000
 1  -0.500000  0.500000     1.04219     1.12763   0.0854354  0.1161
 2  -0.250000  0.250000    0.505225    0.515707   0.0104819  0.1227
 3  -0.125000  0.125000    0.250652    0.251956  0.00130412  0.1244
 4  -0.062500  0.062500    0.125081    0.125244  0.000162824  0.1249
 5  -0.031250  0.031250   0.0625102   0.0625305  2.0347e-05  0.1250
 6  -0.015625  0.015625   0.0312513   0.0312538  2.54319e-06  0.1250
 7  -0.007812  0.007812   0.0156252   0.0156255  3.17893e-07  0.1250
 8  -0.003906  0.003906  0.00781252  0.00781256  3.97365e-08  0.1250
 9  -0.001953  0.001953  0.00390625  0.00390626  4.96706e-09  0.1250
10  -0.000977  0.000977  0.00195313  0.00195313  6.20882e-10  0.1250

  Normal end of execution.
quit