alleryThe value of $\int_a^a f(x)\,dx$ is:
A$f(a)$
B$0$
C$2f(a)$
DUndefined
Answer & Solution
Correct answer: B. $0$
By the Fundamental Theorem, $\int_a^a f(x)\,dx = g(a) - g(a) = 0$ for any antiderivative $g$.
The interval has zero width, so the signed area is zero.
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