Cho hàm số \(y = f\left( x \right) = \pi \left\{ {\begin{array}{*{20}{c}}{{x^2} + 3\,\,\,khi\,\,x \ge 1}\\{5 - x\,\,\,khi\,\,x...

Câu hỏi :

Cho hàm số \(y = f\left( x \right) = \pi \left\{ {\begin{array}{*{20}{c}}
{{x^2} + 3\,\,\,khi\,\,x \ge 1}\\
{5 - x\,\,\,khi\,\,x < 1\,\,}
\end{array}} \right.\). Tính \(I = 2\int\limits_0^{\frac{\pi }{2}} {f\left( {\sin x} \right)\cos xdx + 3} \int\limits_0^1 {f\left( {3 - 2x} \right)dx} \)