November 24th, 2017, 12:14 AM  #1 
Member Joined: Nov 2017 From: india Posts: 45 Thanks: 1  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: 1,534 Thanks: 513 Math Focus: Yet to find out.  
November 24th, 2017, 01:24 AM  #3 
Senior Member Joined: Aug 2012 Posts: 1,772 Thanks: 481 
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 
Member Joined: Nov 2017 From: india Posts: 45 Thanks: 1 
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: 1,772 Thanks: 481  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 
Member Joined: Nov 2017 From: india Posts: 45 Thanks: 1 
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: 1,772 Thanks: 481  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 
Member Joined: Nov 2017 From: india Posts: 45 Thanks: 1 
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: 18,697 Thanks: 1525 
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 
Member Joined: Nov 2017 From: india Posts: 45 Thanks: 1 
how to find integration in c++ dev


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