“Integration” is an efficient way to find areas of all shapes. In our life, integration is often utilized to calculate the areas of irregular shapes with divisions of regular shapes. —————our group

In daily life, there exist lots of irregular shapes which the areas cannot be calculated directly. While the regular figures are much easier to find out, such as squares and rectangles. The irregular shapes are required to divide into small regular shapes. Each small regular shape has the same size and shape. In this way, area of each small shape can be calculated. Eventually, we are able to obtain the area of the irregular shape which is approximate the sum of all small regular shapes.

For an example, we’ve played a game called “angry bird”, this should be an interesting game that could analyze the relationship and integration in a different way. As we know, there exists a slingshot on one side on the field. And we all know that there should have a string on the slingshot. The thing is, when you tend to pull the string with a greater starter energy, the bird will have greater energy, and this could also make more damage to the squares and pigs, we know that, if we accumulate little energy on the bird, the bird can just fly across the distance that is just a stone’s far away. Similarly, the “damage” which is made by birds is a kind of accumulate of energy, when the energy is big enough, we can see the effect clearly, this effect is what we call “integration”. This is just an unformal analyzation, in order to sufficiently give kind of definition of the word “integration”, we can also use an example about cake to analyze it, which can explain integration easily and clearly. Pancake is one of the most common breakfasts in our real life. And it is hard to measure the irregular shape of pancake. What should we do if we want to know the area of the pancake? One way that can measure the pancake is using square(s)! If we use only one square to measure the pancake, we will get the most inaccurate result. However, if we use countless squares, our result will sufficiently close to the correct result. The more squares we use; the more accurate result we have. That is the key of integration.

In conclusion, integration is important because it can be applied to determine the area of the irregular shape, which is hard to determine or to get the exact value by calculation. The basic idea of integration is dividing the irregular shape into some shape that are small enough but easy to determine and adding those regular shape together to get the value of the irregular shape. In addition, integration is one of the keys content of Calculus.