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Indefinite Integral শব্দের বাংলা অর্থ: অবিচ্ছেদ্য অনির্দিষ্ট
Indefinite Integral Meaning In Bengali অবিচ্ছেদ্য অনির্দিষ্ট
Indefinite Integral
Definition
1) In mathematics, the indefinite integral of a function is essentially the antiderivative of that function. It represents a family of functions whose derivative is equal to the original function, up to a constant.
2) The indefinite integral of a function is a fundamental concept in calculus that allows us to find the general form of an antiderivative without specific limits of integration.
3) Symbolically, the indefinite integral is denoted by the ∫ symbol followed by the function to be integrated and a differential symbol. The result is expressed as F(x) + C, where F(x) represents the antiderivative and C is the constant of integration.
Examples
Indefinite Integral Example in a sentence
1) Calculating the indefinite integral of x^2 gives x^3/3 + C, where C is the constant of integration.
2) The indefinite integral of sin(x) is -cos(x) + C.
3) To find the area under a curve, we often use the indefinite integral.
4) When solving for the antiderivative, we are finding the indefinite integral of the function.
5) The indefinite integral of e^x is simply e^x + C.
6) Integrating a function without upper and lower limits results in an indefinite integral.
7) The concept of the indefinite integral is fundamental in integral calculus.
8) Expressing a function with an antiderivative form usually involves using the indefinite integral.
9) The process of finding an indefinite integral requires applying integration techniques.
10) The notation for the indefinite integral of a function f(x) is ∫ f(x) dx + C.
Part of Speech
Indefinite Integral (Adjective)
Synonyms
Encyclopedia
In mathematics, the indefinite integral of a function is essentially the antiderivative of that function. It represents a family of functions whose derivative is equal to the original function, up to a constant.
The indefinite integral of a function is a fundamental concept in calculus that allows us to find the general form of an antiderivative without specific limits of integration.
Symbolically, the indefinite integral is denoted by the ∫ symbol followed by the function to be integrated and a differential symbol. The result is expressed as F(x) + C, where F(x) represents the antiderivative and C is the constant of integration.
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