Re: Fundamental theorem problem
- To: mathgroup at smc.vnet.net
- Subject: [mg49583] Re: Fundamental theorem problem
- From: "David W. Cantrell" <DWCantrell at sigmaxi.org>
- Date: Sat, 24 Jul 2004 03:47:13 -0400 (EDT)
- References: <cdqqnb$km6$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
"Steven Jonak" <jonakst at gw.kirkwood.k12.mo.us> wrote:
> 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!
Consider
In[1]:= Assuming[x^4 < Pi/2, Simplify[D[Integrate[Sec[t], {t, 1, x^4}], x]]]
Out[1]= 4*x^3*Sec[x^4]
HTH,
David Cantrell