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MathGroup Archive 2001

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

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

Tim:
	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.
	Best,
	Harvey
Professor Harvey P. Dale
Director
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 stny.rr.com] 
To: mathgroup at smc.vnet.net
Sent:	Friday, July 20, 2001 3:29 AM
To:	mathgroup at smc.vnet.net
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
reply
if you want to email me.

Tim 9-23

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