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Definition of Indefinite integral
1. Noun. The set of functions F(x) + C, where C is any real number, such that F(x) is the integral of f(x).
Definition of Indefinite integral
1. Noun. (mathematics) A function whose derivative is a given function; an antiderivative ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Indefinite Integral
Literary usage of Indefinite integral
Below you will find example usage of this term as found in modern and/or classical literature:
1. Elements of the Differential and Integral Calculus by William Anthony Granville, Percey Franklyn Smith (1904)
"Hence and since С is unknown and indefinite, the expression is called the indefinite
integral of f (т) dx. It is evident that if ф (z) is a function the ..."
2. Elements of the Differential and Integral Calculus by William Anthony Granville (1904)
"Hence ff(x)dx=f(x)+C; and since С is unknown and indefinite, the expression /(*)+<?
is called the indefinite integral off (x) dx. ..."
3. Differential and Integral Calculus by Clyde Elton Love (1916)
"CHAPTER XI THE indefinite integral 77. Integration. We have been occupied up to
this point with the problem : Given a function, to find its derivative. ..."
4. An Elementary Course of Infinitesimal Calculus by Horace Lamb (1897)
"Existence of an indefinite integral. We can now shew that any function <f> (x),
having the character postulated in Art. 87, has an indefinite integral, ..."
5. The Encyclopaedia Britannica: A Dictionary of Arts, Sciences, Literature and (1910)
"For a product uv Again let I-'L.TI be the indefinite integral of a continuous
function f •-}, » that we have When the points M of the process explained in ..."
6. A Treatise on Infinitesimal Calculus: Containing Differential and Integral by Bartholomew Price (1865)
"(10) Hence it follows that the definite integral of y'(x)dx between the limits
xn and x0 is the value of the indefinite integral when x = XH, less its value ..."
7. An Elementary Treatise on the Calculus: With Illustrations from Geometry by George Alexander Gibson (1901)
"If f( is an indefinite integral, f(x) + C is called the general ; tegral, G being
an arbitrary constant. Instead of the notation of inverse functions ..."
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