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