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AW: Fundamental theorem problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg49581] AW: [mg49573] Fundamental theorem problem
  • From: Matthias.Bode at oppenheim.de
  • Date: Sat, 24 Jul 2004 03:47:11 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello Steven,

FullSimplify[D[Integrate[Sec[t], 
    {t, 1, x^4}], x]]

yields:

4*x^3*Sec[x^4]

Satisfied?

Best regards,
Matthias Bode
Sal. Oppenheim jr. & Cie. KGaA
Untermainanlage 1
D-60329 Frankfurt am Main
GERMANY
Tel.: +49(0)69 71 34 53 80
Mobile: +49(0)172 6 74 95 77
Fax: +49(0)69 71 34 95 380
E-mail: matthias.bode at oppenheim.de
Internet: http://www.oppenheim.de



-----Ursprüngliche Nachricht-----
Von: Steven Jonak [mailto:jonakst at gw.kirkwood.k12.mo.us] 
Gesendet: Freitag, 23. Juli 2004 12:02
An: mathgroup at smc.vnet.net
Betreff: [mg49573] Fundamental theorem problem


I input the command: D[Integrate[Sec[t],{t,1,x^4}],x] expecting to get
4x^3 Sec[x^4] but instead got a fairly complicated result that doesn't
resemble what one would expect from the Fundamental Theorem of Calculus.
 What am I doing wrong? Help!

S Jonak
"Maintain an even strain."


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