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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: [mg30138] Re: Integrate[Sqrt[Tan[x]], {x, 0, 1}] -- approx ??
  • From: "Allan Hayes" <hay at haystack.demon.co.uk>
  • Date: Tue, 31 Jul 2001 04:27:11 -0400 (EDT)
  • References: <9j8nqi$5qf$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Tim, for approximate answers we can use NIntegrate

NIntegrate[Sqrt[Tan[x]],{x,0,1}]

0.727298

We can increase the accuracy, for example

NIntegrate[Sqrt[Tan[x]],{x,0,1}, WorkingPrecision->35]

0.7272982493435106435530637

Accuracy[%]

25

You can find more about NIntegrate from the Help Browser
--
Allan
---------------------
Allan Hayes
Mathematica Training and Consulting
Leicester UK
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565

"Tim 9-23" <bendoftimeb at stny.rr.com> wrote in message
news:9j8nqi$5qf$1 at smc.vnet.net...
> 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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