Let f(x) be an original function of the function f(x), and all the original functions f(x)+c (c is an arbitrary constant) of the function f(x) are called indefinite integrals of the function f (x), denoted as ∫ f (x) dx = f (x)+c.

Where ∫ is called the integral symbol, f(x) is called the integrand function, x is called the integrand variable, and f(x)dx is called the integrand constant. The process of finding the indefinite integral of a known function is called integrating the function.

basic recipe

1)∫0dx=c .

2)∫x^udx=(x^u+ 1)/(u+ 1)+c。

3)∫ 1/xdx=ln|x|+c .

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, which 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. Gauss 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.