Derived formula:

Basic integral table:

Rational integral of trigonometric function;

Some elementary functions: two important limits;

Formulas of trigonometric functions:

6? 1 inductive formula:

function

Angle a sin cos TG ctg

-α-octyl α-cos α-TG α-CTG α

90-αcosαsinαctgαTGα

90+αcosα-sinα-ctgα-TGα

180-αsinα-cosα-TGα-ctgα

180+α-sinα-cosαtgαctgα

270-α-cosα-sinαctgαTGα

270+α- cosine αsinα-ctgα-TGα

360-α- symplectic α-cosine α-TGα-ctgα

360+αsinαcosαTGαctgα

6? 1 and differential angle formula:? 6? 1 sum differential product formula:

6? 1 multiple angle formula:

6? 1 half angle formula:

6? 1 sine theorem:? 6? 1 cosine theorem:

6? Properties of 1 inverse trigonometric function;

Higher derivative formula-Leibniz formula;

Mean value theorem and derivative application;

Curvature:

Approximate calculation of definite integral;

The definite integral applies the related formula:

Spatial analytic geometry and vector algebra;

Differential method of multivariate function and its application

Application of differential method in geometry;

Directional derivative and gradient;

Extreme value of multivariate function and its solution;

Multiple integral and its application;

Cylindrical coordinates and spherical coordinates:

Curve integral:

Surface integral:

Gauss formula:

Stokes formula-the relationship between curve integral and surface integral;

Constant term series:

Series convergence method:

Absolute convergence and conditional convergence;

Power series:

Function expansion into power series:

Some functions are expanded into power series:

Euler formula:

Trigonometric series:

Fourier series:

Fourier series with periodic function;

Related concepts of differential equations:

First order linear differential equation:

Total differential equation:

Second order differential equation:

Second-order homogeneous linear differential equation with constant coefficients and its solution;

General solution formula (*)

Two unequal real roots

Two equal real roots

A pair of yoke compound roots

Second-order non-homogeneous linear differential equation with constant coefficients