Vissage Bai 32204166

Penny Pan 17757162

Yue Deng 56890163

Ding Cheng 21768163

Antidifferentiation，also known as indefinite integration， is the antiderivative calculation. Indefinite integral is the inverse of differential that produce a formula.

Integration calculates a specific value. Unlike Antidifferentiation, it produce  a specific number. However， they have some connections. As integration is a process of calculate the aera of its antiderivative, integration is somehow based on antidifferentiation. After get a fuction’s antidifferentiation, by puting the restriction number in the both sides of the interval, we can get the integration in that interval.

To sum up, the definite integral is limited by the numbers on both sides of the interval, and the indefinite integral is not limited by numbers. They are all calculation process, producing different things. But Indefinite integral is the basis of definite integral.

For example, the antiderivative of the function, F(x)= is f(x)=, c is a constant. The constant is hard to calculate. Therefore, the antiderivative of the function is a function, not a excact value. In contrast, definite integral has an interval. For instance, the  is equal to . Because the definite integral is between two numbers, the definite integration of a function would produce a specific number.

Integration would be divided into two parts, indefinite integration and definite integration. Antidifferntiation is belong one of part of the integration, which is indefinite integration.