The basic integral table * * * has 24 formulas: ∫ kdx = kx+C (k is constant) x μ ∫ x dx = μ+ 1+C, (μ ≦? 1)μ+ 1dx(3)∫= ln | x |+C x 1(4)∫dx = arctan x+C 2 1+x 1 .

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 is related to curl.

Extended data:

Usually, the increment Δ x of the independent variable X is called the differential of the independent variable, which is denoted as dx, that is, dx = Δ x. Then the differential of the function y = f(x) can be written as dy = f'(x)dx. The quotient of the differential of the function and the differential of the independent variable is equal to the derivative of the function. Therefore, the derivative is also called WeChat business.

Let Δ x be the increment of point m on the curve on the abscissa y = f(x), Δ y be the increment of the curve on point m corresponding to Δ x on the ordinate, and dy be the increment of the tangent of the curve on point m corresponding to Δ x on the ordinate. When | Δ x | is very small, |Δy-dy | is much smaller than |δx | (high-order infinitesimal), so we can use a tangent line segment to approximate the curve segment near point M.

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