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MathGroup Archive 2001

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RE: Integrate[Sqrt[Tan[x]], {x, 0, 1}] -- approx ??

  • To: mathgroup at
  • Subject: [mg30000] RE: [mg29978] Integrate[Sqrt[Tan[x]], {x, 0, 1}] -- approx ??
  • From: "Harvey P. Dale" <hpd1 at>
  • Date: Sat, 21 Jul 2001 00:49:07 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

	NIntegrate[Sqrt[Tan[x]],{x,0,1}] yields 0.727298.  If you want more
precision, try NIntegrate[Sqrt[Tan[x]],{x,0,1}, WorkingPrecision->30] which
yields 0.72729824934351064355.
Professor Harvey P. Dale
National Center on Philanthropy and the Law
New York University School of Law
Room 206A
110 West 3rd Street
New York, N.Y. 10012-1074
tel: 212-998-6161
fax: 212-995-3149

 -----Original Message-----
From: 	Tim 9-23 [mailto:bendoftimeb at] 
To: mathgroup at
Sent:	Friday, July 20, 2001 3:29 AM
To:	mathgroup at
Subject:	[mg29978] Integrate[Sqrt[Tan[x]], {x, 0, 1}]  --  approx ??

How do I just get the approx. of this, say 5 decimal places?
Mathematica gives an exact answer which is in terms of multiple
fractions, roots, and complex numbers.

According to my TI-85, it is approx. 0.7273

My email address is anti-spammed.  Remove the 2 B's after hitting email
if you want to email me.

Tim 9-23

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