Mathematics

Mathematics

Problem

Let ff be a differentiable function such that ∫f(x)sin⁡x dx=−f(x)cos⁡x+∫4x3cos⁡x dx\int f(x)\sin x \, dx = -f(x)\cos x + \int 4x^3 \cos x \, dx . Which of the following could be f(x)f(x) ?

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