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4 dni temu · The Wolfram Language returns indefinite integrals without explicit constants of integration. This means that, depending on the form used for the integrand, antiderivatives and can be obtained that differ by a constant (or, more generally, a piecewise constant function ).
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(* Content-type: application/vnd.wolfram.mathematica *) (***...
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The inverse trigonometric functions are multivalued.For...
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The most common form of cosine integral is Ci(x) =...
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The dilogarithm Li_2(z) is a special case of the...
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29 sie 2023 · Thinking of an indefinite integral as the sum of all the infinitesimal “pieces” of a function—for the purpose of retrieving that function—provides a handy way of integrating a differential equation to obtain the solution.
16 lis 2022 · Definitions. Given a function, f (x) f ( x), an anti-derivative of f (x) f ( x) is any function F (x) F ( x) such that. F ′(x) = f (x) F ′ ( x) = f ( x) If F (x) F ( x) is any anti-derivative of f (x) f ( x) then the most general anti-derivative of f (x) f ( x) is called an indefinite integral and denoted,
7 mar 2018 · This calculus video tutorial explains how to find the indefinite integral of a function. It explains how to integrate polynomial functions and how to perfor...
the integral is called an indefinite integral, which represents a class of functions (the antiderivative) whose derivative is the integrand. [19] The fundamental theorem of calculus relates the evaluation of definite integrals to indefinite integrals.
Learn how to find antiderivatives and indefinite integrals, the opposite of derivatives, using examples and exercises. Watch a video by Sal Khan and join the conversation with other learners.
In this section we focus on the indefinite integral: its definition, the differences between the definite and indefinite integrals, some basic integral rules, and how to compute a definite integral.