Let \(f: R \rightarrow R\) be a differentiable function such that its derivative \(f^{\prime}\) ....

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Let \(f: R \rightarrow R\) be a differentiable function such that its derivative \(f^{\prime}\) is continuous and \(f(\pi)=-6\).If \(F :[0, \pi] \rightarrow R\) is defined by \(F ( x )=\int_0^{ x } f( t ) dt\), and if\[\int_0^\pi\left(f^{\prime}(x)+F(x)\right) \cos x d x=2\]then the value of \(f(0)\) is ___ . šŸ“²PW App Link - https://bit.ly/YTAI_PWAP šŸŒPW Website - https://www.pw.live



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