November 24th, 2017, 12:14 AM  #1 
Banned Camp Joined: Nov 2017 From: india Posts: 204 Thanks: 2  What is integration and differentiation for?
hello What is application of integration and differentiation.? 
November 24th, 2017, 12:53 AM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,722 Thanks: 600 Math Focus: Yet to find out.  
November 24th, 2017, 01:24 AM  #3 
Senior Member Joined: Aug 2012 Posts: 2,052 Thanks: 588 
Your speedometer measures the first derivative of your position function. Your odometer measures your total distance travelled. If your odometer's broken you can still estimate how far you've gone by taking an odometer reading every ten seconds, using distance = rate x time to estimate how far you went in that ten seconds, and then adding up all those D = RT calculations. You can get a better estimate if you read the odometer every 5 seconds ... and an even better estimate if you read the odometer every 1 second. Continuing this way, you can get the total distance travelled by integrating the derivative of your position function. That's the fundamental theorem of calculus. Last edited by Maschke; November 24th, 2017 at 01:26 AM. 
November 24th, 2017, 01:52 AM  #4 
Banned Camp Joined: Nov 2017 From: india Posts: 204 Thanks: 2 
I am not getting like sinx we cosx What does this mean? Last edited by skipjack; November 24th, 2017 at 02:56 AM. 
November 24th, 2017, 01:56 AM  #5 
Senior Member Joined: Aug 2012 Posts: 2,052 Thanks: 588  The derivative of sin(x) is cos(x) and the derivative of cos(x) is sin(x), is that what you mean?
Last edited by skipjack; November 24th, 2017 at 02:56 AM. 
November 24th, 2017, 02:05 AM  #6 
Banned Camp Joined: Nov 2017 From: india Posts: 204 Thanks: 2 
Yes, but what is use of it? What does it prove or tell? Last edited by skipjack; November 24th, 2017 at 02:57 AM. 
November 24th, 2017, 02:13 AM  #7 
Senior Member Joined: Aug 2012 Posts: 2,052 Thanks: 588  The derivative is the instantaneous rate of change of some quantity. The integral is the accumulated change over time. There are applications literally everywhere, from physics to economics and biology. Are you studying calculus? They should have some applications in your book. Last edited by skipjack; November 24th, 2017 at 02:57 AM. 
November 24th, 2017, 02:31 AM  #8 
Banned Camp Joined: Nov 2017 From: india Posts: 204 Thanks: 2 
I have studied many time, but not understand it. Anyway, I want to program it in c++. Last edited by skipjack; November 24th, 2017 at 02:54 AM. 
November 24th, 2017, 03:05 AM  #9 
Global Moderator Joined: Dec 2006 Posts: 19,731 Thanks: 1808 
Do you have a specific question? It's difficult to advise you on programming something you don't yet understand, especially when you haven't said what you want the program to accomplish.

November 24th, 2017, 03:22 AM  #10 
Banned Camp Joined: Nov 2017 From: india Posts: 204 Thanks: 2 
how to find integration in c++ dev


Tags 
differentiation, integration 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
integration and differentiation  markosheehan  Differential Equations  4  June 4th, 2016 02:54 AM 
integration and differentiation  markosheehan  Algebra  4  May 30th, 2016 11:39 AM 
Differentiation and integration  jiasyuen  Calculus  2  July 10th, 2014 01:20 AM 
Differentiation and Integration  nicolodn  Calculus  13  October 23rd, 2010 10:34 PM 
Integration/differentiation  aritmoquine  Real Analysis  3  March 17th, 2009 04:21 AM 