indefinite integral sentence in Hindi
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- The first volume, on indefinite integrals, was published by Notdruck ( Braunschweig ) in 1944 and by Springer in 1949 . In 1950, the second volume containing definite integrals appeared.
- Since the concept of an antiderivative is only defined for functions of a single real variable, the usual definition of the indefinite integral does not immediately extend to the multiple integral.
- When I input Sqrt [ 2 * Pi * x ] * x ^ x * Exp [-x ] I get basically the same indefinite integral back, not an error message.
- There is a differential Galois theory, but it was developed by others, such as Picard and Vessiot, and it provides a theory of quadratures, the indefinite integrals required to express solutions.
- There are yet other cases ( such as the Gaussian integral ) where definite integrals can be evaluated exactly without numerical methods, but indefinite integrals cannot, for lack of an elementary antiderivative.
- Finding an indefinite integral of a function f ( x ) is the same as solving the differential equation \ frac { dy } { dx } = f ( x ).
- Risch called it a decision procedure, because it is a method for deciding whether a function has an elementary function as an indefinite integral, and if it does, for determining that indefinite integral.
- An attempt to introduce an indefinite integral as the inverse of differentiation is bound to fail as the second derivative of any Grassmann function vanishes, so that the inverse operation does not exist.
- Risch called it a decision procedure, because it is a method for deciding whether a function has an elementary function as an indefinite integral, and if it does, for determining that indefinite integral.
- You shouldn't really say " indefinite integral " in this context since, strictly speaking, the integral should have lower and upper limits ( respectively, the initial and final positions of the object being moved ).
- :: As far as I can tell, the more difficult integrand doesn't have an indefinite integral in terms of elementary functions . ~ ~ Talk ) ~ ~ 07 : 42, 1 September 2009 ( UTC)
- In other circumstances, " up to a constant " is used to mean up to " adding " a constant : for example, the indefinite integral of a function is only defined up to a constant.
- :The sign is the Integral Sign, without any arguments, refers to the Indefinite integral which takes afunction and maps it to a set of functions which indicate the area between the original function and the given line.
- The Weierstrass theory also includes the Weierstrass zeta function, which is an indefinite integral of & # 8472; and not doubly periodic, and a theta function called the Weierstrass sigma function, of which his zeta-function is the log-derivative.
- :: Technically the above formula is an indefinite integral and really all it says is that the derivative of \ ln \ left | x \ right | is 1 \ over x, with the restriction x ` " 0 implicit from the domains of the functions involved.
- The " indefinite integral ", also known as the " antiderivative ", is the inverse operation to the derivative . is an indefinite integral of when is a derivative of . ( This use of lower-and upper-case letters for a function and its indefinite integral is common in calculus .)
- The " indefinite integral ", also known as the " antiderivative ", is the inverse operation to the derivative . is an indefinite integral of when is a derivative of . ( This use of lower-and upper-case letters for a function and its indefinite integral is common in calculus .)
- We might say " the solution to an indefinite integral is, " up to addition by a constant " ", meaning that the added constant is not the focus here, the solution is, and that the addition of a constant is to be regarded as a background, of secondary focus.
- The " indefinite integral ", also known as the " antiderivative ", is the inverse operation to the derivative . is an indefinite integral of when is a derivative of . ( This use of lower-and upper-case letters for a function and its indefinite integral is common in calculus .)
- I'm not sure what to do with the constant when taking the indefinite integrals . ( I'm trying to get the definite integral from 2 to 5 ) Will someone please explain to me how to do treat the constant when antidifferentiating ? talk ) 00 : 01, 3 March 2008 ( UTC)
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