alleryIf $f$ is **odd** on $[-a, a]$, then $\displaystyle\int_{-a}^{a} f(x)\, dx$ equals:
A$0$
B$2\int_0^a f(x)dx$
C$a$
DCannot be determined
Answer & Solution
Correct answer: A. $0$
By symmetry, odd-function integrals over symmetric intervals vanish.
(For even $f$: $2\int_0^a f$.)
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