| 词汇 | antiderivative |
| 释义 | BETA Examples of antiderivativeantiderivative isn’t in the Cambridge Dictionary yet. You can help! For these potentials, their antiderivative may have branches. The logarithm function, which is the actual antiderivative of 1/ "x", must be introduced and examined separately. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For a complete list of antiderivative functions, see lists of integrals. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A formula for the integrand may be known, but it may be difficult or impossible to find an antiderivative that is an elementary function. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The importance of the partial fraction decomposition lies in the fact that it provides an algorithm for computing the antiderivative of a rational function. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is because there can be no unique representation of an antiderivative for inexact differentials since their variation is inconsistent along different paths. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The integral is not actually the antiderivative, but the fundamental theorem provides a way to use antiderivatives to evaluate definite integrals. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The "indefinite integral" is the "antiderivative", the inverse operation to the derivative. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For some elementary functions, it is impossible to find an antiderivative in terms of other elementary functions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It may be possible to find an antiderivative symbolically, but it may be easier to compute a numerical approximation than to compute the antiderivative. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Therefore, any constant is an antiderivative of the zero function. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Furthermore, holomorphy is a necessary condition for a function to have an antiderivative, since the derivative of any holomorphic function is holomorphic. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is frequently used to transform the antiderivative of a product of functions into an antiderivative for which a solution can be more easily found. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is exact because 1 has antiderivative x everywhere on the real line. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. But if the coefficient 71 is changed to 72, it is not possible to represent the antiderivative in terms of elementary functions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The most difficult step is usually to find the antiderivative of "f". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is rarely possible to glance at a function and write down its antiderivative. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Using the fundamental theorem of calculus often requires finding an antiderivative. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For example, a "constant of integration" is an arbitrary constant function that is added to a particular antiderivative to obtain the other antiderivatives. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. |
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