These nine can be obtained by alternative methods.

Extended content:

Basic formulas in calculus: 1, Newton-Leibniz formula: If the function f(x) is continuous on [a, b] and the original function f(x) exists, then F(x) is integrable on [a, b], but? B (upper limit) ∫a (lower limit) f(x)dx=F(b)-F(a).

2. Green's formula: If the closed area is surrounded by piecewise smooth curves and the sum of functions has a first-order continuous partial derivative, then there is ∮ CP (x, y) dx+q (x, y) dy = ∫∫ d (dq/dx-dp/dy) dxdy, and here is the positive boundary curve.

3. Gauss formula: the flux of a vector passing through an arbitrary closed surface is equal to the integral of the divergence of the vector to the volume surrounded by the closed surface.

4. Stokes formula is related to curl.