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Question

If the linear functions $f(x)$ and $g(x)$ satisfy $\int \left[(3x-1)\cos x + (1-2x)\sin x\right] \, dx = f(x)\cos x + g(x)\sin x + C$, then

$f(x) = 3x - 5$

$g(x) = 3 + x$

$f(x) = 3(x - 1)$

$g(x) = 3(x - 1)$

Solution

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