Antiderivative
Antiderivative In calculus, an antiderivative or primitive function of a given real ... indefinite integration). Finding an expression for an antiderivative is harder than calculating a derivative, and ... F(x) = x 3 /3 is an antiderivative of f(x) = x 2 . As the ... 3 / 3) − 36, etc. Thus, the antiderivative family of x 2 is collectively ...
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Talk:Antiderivative
Talk:Antiderivative Merging with integral? Why isn't this ... Aug 30, 2004 (UTC) When is the antiderivative not equal to the integral? What kind ... function would have an integral but no antiderivative?--Siva 18:22, 30 Aug 2004 (UTC ... that integral is about definite integrals, and antiderivative is the operation inverse to differentiation, meaning ... in more than one variable, integral and antiderivative are even more distinct. As such, ...
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User:Lethe/differential Galois theory posts
... Lethe post 1 question What's the antiderivative of exp(-x 2 )? of sin(x ... elementary functions do not have an elementary antiderivative. They still have antiderivatives, but "they can ... to some scaling factors, "erf" is the antiderivative of exp(-x^2) and "Si" is the antiderivative of sin(x)/x, and so on ... F. We let I(f) denote an antiderivative. We ignore +cs. Most examples in ...
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Talk:Fundamental theorem of calculus
... function which is integrable but has no antiderivative? in the article it states "Part II ... Lebesgue integrable function f which has an antiderivative F (not all integrable functions do, though ... is integrable but doesn't have an antiderivative. That is, it seems to me that ... xf(t)dt should be an antiderivative almost everywhere, which I guess would only ... mean that the Cantor function has no antiderivative? or that its antiderivative just doesn' ...
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Integral
... one wants to clarify this distinction, an antiderivative integral is referred to as an indefinite ... and an interval [a,b]. Find an antiderivative of f, that is, a function F ... that the integral is not actually the antiderivative, but the fundamental theorem allows us to ... integrals. The difficult step is finding an antiderivative of f. It is rarely possible to ... at a function and write down its antiderivative. More often, it is necessary to ...
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Integral (Psychology wiki)
... one wants to clarify this distinction, an antiderivative integral is referred to as an indefinite ... and an interval [a,b]. Find an antiderivative of f, that is, a function F ... that the integral is not actually the antiderivative, but the fundamental theorem allows us to ... integrals. The difficult step is finding an antiderivative of f. It is rarely possible to ... at a function and write down its antiderivative. More often, it is necessary to ...
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Arbitrary constant of integration
... on an interval and F is an antiderivative of f, then the set of all ... is zero. Once one has found one antiderivative F, adding or subtracting a constant C will give us another antiderivative, because (F + C)' = F' + C' = F' . The ... find antiderivatives of cos(x). One such antiderivative is sin(x). Another one is sin ... C by a number will produce an antiderivative. By writing C instead of a ...
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Fundamental theorem of calculus
... one to compute integrals by using an antiderivative of the function to be integrated. In ... a, b], and let F be an antiderivative of f. Begin with the quantity antiderivative. Therefore: $\backslash int\_2^5\; x^2\backslash ,\; dx\; ...\; over\; 4\}\; t^4$ as the antiderivative. Therefore: $\{d\; \backslash over\; dx\}\; \backslash int\_0^x\; ...\; Lebesgue\; integrable\; function\; f\; which\; has\; an$antiderivative F (not all integrable functions do, ...
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User:Lethe/differential Galois theory
... a function is exp(-x 2 ), whose antiderivative is (up to constants) the error function ... functions, and with this new list, the antiderivative of exp(-x 2 ) is elementary. However ... function does or does not have an antiderivative which can be expressed as an elementary ... in words, suppose that G contains an antiderivative of a). Then there exist c 1 ... form f*e g has an elementary antiderivative, with f and g in C( ...
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Basic theorem of the Calculation   (translated from Portuguese)
... calculation, it allows to compute integrals using antiderivative of the to be integrated function. In ... the interval [, b], e F with the antiderivative of f. Começe with the amount antiderivative. Soon: $\backslash int\_2^5\; x^2\; \backslash ,\; dx\; ...\; of\; Lebesgue\; f\; that\; it\; possesss\; a$antiderivative F (nor all the integral functions possess ... it is a function that has a antiderivative holomórfica F in U. Then for ...
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