# Integration and Differentiation as Inverse Operations

• July 17th 2009, 04:08 PM
markwolfson169
Integration and Differentiation as Inverse Operations
Hi
I was wondering if anyone could tell me an intuitive reason why integration and differentiation are inverses.
I am familiar with the fundamental theorem of calculus and can prove it but usually with a proof comes understanding, I failed to obtain this understanding in this case and was wondering if anyone could help me out?
Cheers
• July 17th 2009, 06:48 PM
pickslides
Its simple, because one undoes the other

Like $x + 2 - 2 = x$

then $\frac{d}{dx} \left(\int f(x) dx\right) = f(x)$
• July 17th 2009, 07:41 PM
VonNemo19