Services & Resources / Wolfram Forums
MathGroup Archive
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2005

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Area Under Curve (Min Length Interval)

  • To: mathgroup at
  • Subject: [mg53945] Re: Area Under Curve (Min Length Interval)
  • From: "Valeri Astanoff" <astanoff at>
  • Date: Sat, 5 Feb 2005 03:14:57 -0500 (EST)
  • References: <ctqdm2$sd3$><ctrn4v$bpt$>
  • Sender: owner-wri-mathgroup at

Proof with Mathematica that your approach was the right one:

Minimize (b-a) under the constraint F[b]-F[a] == c

In[1]:= lagrangian = (b-a) + lambda(F[b] - F[a] - c);

In[2]:= Eliminate[D[lagrangian,a] == 0 && D[lagrangian,b] == 0, lambda]

Out[2]= F'[b] == F'[a]

  • Prev by Date: Re: Contour Integration
  • Next by Date: evalutating expression at different values
  • Previous by thread: Re: Area Under Curve (Min Length Interval)
  • Next by thread: Graphics Colors wherefrom?