density function

Robert Israel — Fri, 22 Feb 2008 05:33:41 Z

In other words, you want G to be an antiderivative of g with G(x) -> 1 as x -> infinity.

Let Q be the result of your simplify command.

1) Substitute D(G) for g and INF for infinity (this is kind of cheating...).

  Q1 := eval(Q, {g = D(G), infinity=INF});

2) Tell int not to worry about discontinuities.

  Q2 := subsindets(Q1, specfunc(anything,int), 
      y -> int(op(y),continuous));

3) Tell Maple about the limit.

  Q3 := eval(Q2, G(INF) = 1);

Q3 := pi1-pi2*(-G(-(-q*w-q*pi2+pi2*C)/w)+1)

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