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Assignment Help:>>数学>> Indefinite integral

Indefinite integral:

BASIC CONCEPT

令f(x)为x的可区分函数,以使d/dx [f(x)] = f(x)。然后f(x)称为f(x)的积分。象征性地,它写为∫f(x)dx = f(x)。

f(x), the function to be integrated, is known as integrand.

F(x) is also called as anti-derivative of f(x).

Constant of Integration:

由于常数的差分系数为零,我们知道

679_Indefinite integral.png

因此,∫f(x)dx = f(x) + c。该常数C称为集成的常数,可以采用任何实际值。

集成作为差异化的逆过程

Basic formulae:

Anti derivatives of some of extinsively used functionsare given below.

1295_Indefinite integral4.png

2058_Indefinite integral2.png

Standard Formulae:

905_Indefinite integral3.png

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