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
。
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.
Standard Formulae:
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