# How does the fundamental theorem of calculus connect derivatives and integrals?

##### 1 Answer

Sep 11, 2014

The fundamental theorem of calculus shows that differentiation and integration are reverse processes of each other.

Let us look at the statements of the theorem.

(I)

(II)

As you can see above, (I) shows that integration can be undone by differentiation, and (II) shows that differentiation can be undone by integration (with a loss of the information of C).