Integration formula: In the mathematical domain and primarily in calculus, integration is the main component along with the differentiation which is the opposite of integration.
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In a simple straight language integration can be defined as the measure, which basically assigns numbers to the several functions.The numbers are basically assigned which may describe the displacement,volume or area etc of such concerned function.
In integration we basically take the infinitesimal data as the combination for the purpose of assigning numbers, in accordance to describe the different values.
If we talk about the application of integration then it can be used across the numbers of occasions and places. For instance you can use it in probability theory, where you want to depict the probability of any random variable falling in certain age.
Some Common Formulas for Integration
Well,as we know that integration is the core part of calculus, which is comprised of tons of problems and we fortunately have solution for each of its problems.
If you want to find out the precise solution of any sum from integration, then you must have an idea about its formula to solve such equation.
There are the numbers of formulas in integration, which you need to know before you go ahead to tackle any question of calculus integration.
Properties of the Indefinite Integral
Here below you can check out all the basic to advanced formulas of integration for your easy convenience and learning purposes.
Integral Formula for Trig Identities
If you are a mathmatics students then you can easily get the significance of integration formulas. These formulas are meant to simplify the tough calculations of calculus with the utmost ease and this is the reason why every student starts with all basic formulas of integration.
We urge all the scholars to first learn the integration formulas and then practice the application of these formulas, in order to solve any sum of integration.
FAQ on integration formulas for trigonometric function :
- What is the basic integration formula for sine and cosine functions?
A: The basic integration formula for sine and cosine functions are:
- ∫ sin(x) dx = -cos(x) + C
- ∫ cos(x) dx = sin(x) + C where C is the constant of integration.
- How do you integrate the product of sine and cosine?
A: The product of sine and cosine can be integrated using the following formula:
- ∫ sin(x)cos(x) dx = (sin(x))^2/2 + C where C is the constant of integration.
- What is the integration formula for tangent function?
A: The integration formula for tangent function is:
- ∫ tan(x) dx = ln|sec(x)| + C where C is the constant of integration.
- What is the integration formula for cotangent function?
A: The integration formula for cotangent function is:
- ∫ cot(x) dx = ln|sin(x)| + C where C is the constant of integration.
- What is the integration formula for secant function?
A: The integration formula for secant function is:
- ∫ sec(x) dx = ln|sec(x) + tan(x)| + C where C is the constant of integration.
- What is the integration formula for cosecant function?
A: The integration formula for cosecant function is:
- ∫ csc(x) dx = ln|csc(x) – cot(x)| + C where C is the constant of integration.