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Integralsmedium
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If a function f(x)f(x)f(x) satisfies ∫0xf(t)dt=xsin⁡(x)\int_{0}^{x} f(t) dt = x \sin(x)∫0x​f(t)dt=xsin(x), what is the specific value of f(π/2)f(\pi/2)f(π/2)?