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
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