[maths] Re: integrals; calculus

  • From: "Ned Granic" <ngranic@xxxxxxx>
  • To: <maths@xxxxxxxxxxxxx>
  • Date: Thu, 7 Dec 2006 23:07:07 -0700

Appologies, it's supposed to be the theta sign; I wasn't careful enough when 
posting the thing.
Thanks for the explanation about graphing.
Cheers!
Ned
  ----- Original Message ----- 
  From: Nelson Blachman 
  To: maths@xxxxxxxxxxxxx 
  Sent: Thursday, December 07, 2006 10:05 PM
  Subject: [maths] Re: integrals; calculus


  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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