[maths] Re: integrals; calculus
- From: "Nelson Blachman" <blachman@xxxxxxx>
- To: <maths@xxxxxxxxxxxxx>
- Date: Thu, 07 Dec 2006 21:05:21 -0800
Ned,
You have the right integral for g(0) provided that the symbol 0 is not the
number zero but is the letter O. If it's really the number 0, there's no
variable with respect to which to integrate, and the problem is meaningless.
The integral of a function represents the area under the graph of the
function or the distance traveled if you're integrating speed as a function of
time or the amount of water in a bucket if you're integrating the rate of flow
of the water into the bucket, which may bary as you adjust the tap.
HTH,
Nelson
----- Original Message -----
From: Ned Granic
To: maths@xxxxxxxxxxxxx
Sent: Thursday, December 07, 2006 9:30 AM
Subject: [maths] integrals; calculus
Here is one more so-so obvious problem:
Find the most general integral of g(0) = cos 0 - 5sin 0.
Is it: G(0) = sin 0 + 5cos 0 + C?
And, how do I sketch, or start sketching rough graphs of integrals of
functions? How do I know what they roughly should look like?
Many thanks in advance!
Ned
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