# Question #89633

##### 1 Answer

Integration refers to the inverse process of differentiation. Allow me to illustrate it briefly in the section below.

#### Explanation:

So example, we have a single valued and differentiable function

The differential coefficient or simply the derivative of

Now, let

We define the integral of

Since, the integral of

So far we are done with the basic definition of integration.

I would like to extend the discussion to the definition of the definite integral.

The definite integral of

Now, the fundamental theorem of integral calculus states that,

There are simple rules for determining the integral of a function. We you are dealing with the indefinite integral, just put a constant and if you're dealing with the definite integral, use the fundamental theorem of integral calculus.

A more rigorous and geometric interpretation of definite integral is provided in most elementary calculus textbooks. Please consult one if you like.