Let \( f \) be a twice differentiable function on \( R \). If \( f^{\prime}(0)=4 \) and \( f(x)+... VIDEO
Let \( f \) be a twice differentiable function on \( R \). If \( f^{\prime}(0)=4 \) and \( f(x)+\int_{0}^{x}(x-t) f^{\prime}(t) d t=\left(e^{2} x+e^{-2} x\right) \cos 2 x+\frac{2}{a} x \), then \( (2 a \) \( +1)^{5} a^{2} \) is equal to
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