NAG Library Manual, Mark 28.7
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NAG AD Library Introduction
Example description

 D01RK_T1W_F Example Program Results

 a      -     lower limit of integration =     0.0000
 b      -     upper limit of integration =     6.2832
 key    -        choice of Gaussian rule =          6
 epsabs -    absolute accuracy requested =   0.00E+00
 epsrel -    relative accuracy requested =   0.10E-03
 maxsub -     max number of subintervals =         20

 result -  approximation to the integral =   -0.20967
 abserr - estimate of the absolute error =   0.45E-13
 iinfo( -    number of subintervals used =          4

  Derivatives calculated: First order tangents
  Computational mode    : algorithmic
  Derivatives:
 d(result)/druse    0.01401
 d(result)/druse   -0.00093