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- Dictionaryintegral
adjective
- 1. necessary to make a whole complete; essential or fundamental: "games are an integral part of the school's curriculum" Similar Opposite
- 2. of or denoted by an integer.
noun
- 1. a function of which a given function is the derivative, i.e. which yields that function when differentiated, and which may express the area under the curve of a graph of the function.
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Learn the meaning of integral as an adjective and a noun in mathematics and other contexts. See synonyms, examples, word history, and related phrases of integral.
INTEGRAL definition: 1. necessary and important as a part of a whole: 2. contained within something; not separate: 3…. Learn more.
Integration, the process of computing an integral, is one of the two fundamental operations of calculus, [a] the other being differentiation. Integration was initially used to solve problems in mathematics and physics, such as finding the area under a curve, or determining displacement from velocity.
- Integral UV Formula
- Integral Log X
- Integral of Tan X
- GeneratedCaptionsTabForHeroSec
The uv formula of integral is generally used to calculate the integration by parts. This can be expressed as: Here, u = Function of u(x) v = Function of v(x) dv = Derivative of v(x) du = Derivative of u(x)
Let us derive the formula for integral log x here. ∫log x dx We know that, ∫ uv′ = uv – ∫ vu′ where u and v are functions of x and prime here indicates derivatives. Using the ILATE rule, let us take the functions as u(x) and v(x). u(x)= log x and v(x)= x Thus, by substituting these functions in the formula we get, ∫log x dx = x(log x) – ∫x.(dx/x) +...
The integral of tan x can be derived using substitution method. Here, we have to assume one part of the function as u and find the derivative of this function to substitute in the integral of the given function. This can be understood in a better way using the derivation given below. ∫tan x dx Let cos x = u -sinx dx = du sin x dx = -du ∫tan x dx = ...
Learn what integral means in mathematics, how to classify it into definite and indefinite integrals, and how to use formulas and methods to calculate it. Find examples of integral of log x and tan x with detailed derivations.
Learn how to use integration to find areas, volumes, central points and more. Integration is the reverse of differentiation and involves adding up slices of a function.
Learn the meaning of integral as an adjective, noun, and mathematical term. Find out how to use integral in different contexts and domains with examples and synonyms.
Integral, in mathematics, either a numerical value equal to the area under the graph of a function for some interval (definite integral) or a new function the derivative of which is the original function (indefinite integral).
