The basic formula of calculus * * * has four major formulas:
1. Newton-Leibniz formula, also known as the basic formula of calculus.
2. Green's formula transforms the closed curve integral into the double integral in the region, that is, the double integral of the divergence of the plane vector field.
3. Gaussian formula divides the surface area into triple integrals in the region, which is the triple integral of the divergence of the plane vector field.
4. Stokes formula, related to curl
These four formulas constitute the backbone of the classical calculus course, which can be said to be an outline. In fact, if you study external algebra, also called grassmann grassmann algebra, and express it in the form of external differential, the four formulas are a unified formula, the remaining derivative formula, integral formula, Rolle mean value theorem, Lagrange mean value theorem, Cauchy mean value theorem, Taylor series, maclaurin expansion, and of course.