Integration Formulas
What are all Integration Formulas?
Integration formulas are the formulas which are used to solve various integration problems,
- ∫ 1 dx = x + C
- ∫ xn dx = x(n + 1)/(n + 1)+ C
- ∫ 1/x dx = log |x| + C
- ∫ ex dx = ex + C
- ∫ ax dx = ax /log a+ C
- ∫ ex [f(x) + f'(x)] dx = ex f(x) + C {where, f'(x) = d/dx[f(x)]}
What is the integration formulas of uv?
The integration formula of uv is,
∫uvdx = u∫vdx – ∫[d/dx(u) × ∫vdx] dx
What does integration in mathematics mean?
If the derivative of the function g(x) is f(x) then the integration of f(x) is g(x) i.e. ∫f(x)dx = g(x). Integration is represented by the symbol “∫”
How do we Integrate using Integration Formulas?
Integration can be achieved using the formulas,
- Define a small part of an object in certain dimensions which by adding infinitely times makes the complete object.
- Using integration formulas over that small part along the varying dimensions get us the complete object.
What is the Integral Formula by Part?
Integral formula by part is used to solve the integral where improper fraction is given.
What is the Use of Integration Formulas?
Integration formulas are used to solve various integral problems. Various problems which we encounter in our daily life can be easily solved with the help of integration, such as finding center of mass of any object, finding the trajectory of missile, rockets, planes and others.
Integration Formulas
Integration Formulas are the basic formulas that are used to solve various integral problems. They are used to find the integration of algebraic expressions, trigonometric ratios, inverse trigonometric functions, and logarithmic and exponential functions. These integration formulas are very useful for finding the integration of various functions.
Integration is the inverse process of differentiation, i.e. if d/dx (y) = z, then ∫zdx = y. Integration of any curve gives the area under the curve. We find the integration by two methods Indefinite Integration and Definite Integration. In indefinite integration, there is no limit to the integration whereas in definite integration there is a limit under which the function is integrated.
Let us learn about these integral formulas, and their classification, in detail in this article.
Table of Content
- Integral Calculus
- What are Integration Formulas?
- Integration Formulas of Trigonometric Functions
- Integration Formulas of Inverse Trigonometric Functions
- Advanced Integration Formulas
- Different Integration Formulas
- Application of Integrals
- Definite Integration Formula
- Indefinite Integration Formula
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