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(A) Let f(x) be
a continuous function defined on an interval [a,
b] and let the anti derivative cos in definite
of f(x) be F(x). Then, the definite integral of
f(x) over [a, b] denoted by
dx is defined as

Here, a and b are
respectively known as lower limit and the upper
limit of the integral.
The value of definite
integral is unique, for if
òf(x) dx = F(x) + C
then

Thus,
The definite integral
is defined by :
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