[maths] Re: antiderivatives; calculus
- From: "Ned Granic" <ngranic@xxxxxxx>
- To: <maths@xxxxxxxxxxxxx>
- Date: Fri, 1 Dec 2006 06:15:14 -0700
Thanks Nelson again!
To be honest, it's from you that I hear of the term "integral" for the first
time, and they are in my next chapter.
I have one more problem that I'm uneasy about:
Find a positive number whose reciprocal added to it is as small as possible.
I've got 1.
x+(1/x) >= 0
is it correct?
Also, if you don't mind verifying the results I posted in my first or second
e-mail this week.
Many thanks for everything!
Ned
----- Original Message -----
From: Nelson Blachman
To: maths@xxxxxxxxxxxxx
Sent: Friday, December 01, 2006 12:24 AM
Subject: [maths] Re: antiderivatives; calculus
Ned,
The indefinite integral of f(x)=x^(3/4) + x^(4/3) is
F(x) = (4/7)x^(7/4) + (3/7)x^(7/3) + C,
just as you said. Congratulations! I hope you can check such results
yourself by differentiating F(x) and getting f(x).
I wonder why your teacher uses the term "antiderivative" when the standard
term is "integral," which is half as long.
--Nelson
----- Original Message -----
From: Ned Granic
To: maths@xxxxxxxxxxxxx
Sent: Thursday, November 30, 2006 2:28 PM
Subject: [maths] antiderivatives; calculus
If f(x) = fourth_root(x^3) + cube_root(x^4), then
its most general antiderivative function, I thinks, is:
F(x) = 4/7x^7/4 + 3/7x^7/3 + C.
How far off am I, that is the question!
Cheers!
Ned
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