“Integration”  

The mathematic term, “integral” is often described as the area under a curve of a function. More specifically saying, integral is a multiplication, and “finding the area of a curve” is just one way to describe integral. As its name implies, “multiplication” means breaking down one thing into tons of small pieces and combing all the quantities into a new results. And the “new result” is our Integral. More pieces you have, more accurate result you will get.

Example # 1  We are trying to find an area of a circle by using whole bunch of small rectangle, those rectangles will not completely fill in the circle, there must remain some tiny spaces, but we could get the closest result we want. Less area remaining, more accurate area we find and finally we can reach to the actual area under of the circle.

The technique of integration is not only limited to math but play a vital role in other subjects. For example in physics if we are asked to find the distance of a object that is moving with non-uniform acceleration. If we plot a graph for the motion of the object , velocity on Y-axis and time on x-axis. The curve can be of very complex shape. It would be very difficult to find the distance if we use physics formulas here. But we can simply find the distance by calculating the area under the graph by integration. So as a result Integration can make hard problems easy to solve.