Integral from a to a of f(x) with respect to x
The integral from a to a of f(x) with respect to x can be evaluated as follows:
∫[a to a] f(x) dx = F(a) – F(a)
where F(x) is the antiderivative (or primitive) of f(x)
The integral from a to a of f(x) with respect to x can be evaluated as follows:
∫[a to a] f(x) dx = F(a) – F(a)
where F(x) is the antiderivative (or primitive) of f(x).
Since the limits of integration are the same (a to a), this means that the interval of integration is a single point, and the integral evaluates to zero.
Therefore,
∫[a to a] f(x) dx = 0.
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