If \( f(x) \) is a continuous function and P \( \int_{x^{2}}^{x^{4}...
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If \( f(x) \) is a continuous function and
P \( \int_{x^{2}}^{x^{4}} t^{3} f(t) d t=\sin 2 \pi x \), then \( f(1) \) is equal to
(1) 1
(2) -1
(3) \( \pi \)
(4) \( -\pi \)
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