
Differential Equations Ordinary and Partial Differential Equations Math Forum 
 LinkBack  Thread Tools  Display Modes 
December 8th, 2012, 01:25 AM  #1 
Newbie Joined: Dec 2012 Posts: 1 Thanks: 0  What are the similarities of differential and integral calcu
What are the similarities of differential and integral calculus?

December 8th, 2012, 09:23 AM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: What are the similarities of differential and integral c
Its not really a matter of "similarities", the two are "inverse" to one another. The two parts of the "Fundamental Theorem of Calculus": If f(x)= dF/dx, then .. If F(x)= \int_a^x f(x)dx, then dF/x= f(x). One important difference between differentiation and integration is that we have a specific definition for differentiation: but integration is only defined "indirectly": is a function whose derivative is f(x). That means that integrating, often, is a matter of searching for an antiderivative rather than "computing" it directly. 

Tags 
calcu, differential, integral, similarities 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Partial Differential Differential Equations  rishav.roy10  Differential Equations  0  August 21st, 2013 06:59 AM 
Differential equations: integral of tln(t)  Fairburn  Differential Equations  2  October 28th, 2011 08:25 AM 
differential equations  laplace integral?  mbradar2  Differential Equations  1  November 29th, 2010 04:11 PM 
Prove Lower Integral <= 0 <= Upper Integral  xsw001  Real Analysis  1  October 29th, 2010 08:27 PM 
Integral of a partial differential  subzero  Differential Equations  1  April 15th, 2009 02:44 PM 