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For a definite integral with limits swapped, which identity holds?

A$\int_a^b f\,dx = \int_b^a f\,dx$
B$\int_a^b f\,dx = -\int_b^a f\,dx$
C$\int_a^b f\,dx = \int_b^a f\,dx + c$
D$\int_a^b f\,dx = 1/\int_b^a f\,dx$
Answer & Solution
Correct answer: B. $\int_a^b f\,dx = -\int_b^a f\,dx$
**Property II:** swapping limits flips the sign. $\int_a^b f\,dx = g(b)-g(a) = -[g(a)-g(b)] = -\int_b^a f\,dx$.
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