All right, back to the point.

1.

Basically useless. Many provinces don't even take the definite integral test, and the provinces they take are also extremely idiotic questions. . Derivatives are also rarely used. High school mathematics is in several intervals, and high numbers are basically not used. .

2. Physics competition.

Depends on what level you are. If you plan to enter China for the first year, you must study (if it is a strong province, you must also leave one). The main chapters are 2 (derivative), 4 (indefinite integral) and 7 (the first three chapters of differential equation). Definite integral can be calculated by calculator, which is of little significance. Another 3 (differential mean value theorem) can also be properly looked at. Lagrange and Cauchy mean value theorems will surge in rare cases (I have a physics competition for three years, Zhejiang II doesn't need integro-differential equations, and there are simple methods. . If you want to do it hard, it must be a differential equation. . . )