Câu 41:
Cho hàm số y=f(x)={x2+3khi x≥15−x khi x<1y = f\left( x \right) = \left\{ \begin{array}{l}{x^2} + 3\quad khi\;x \ge 1\\5 - x\quad \;\,khi\;x < 1\end{array} \right.y=f(x)={x2+3khix≥15−xkhix<1. Tính I=2∫0π2f(sinx)cosxdx+3∫01f(3−2x)dxI = 2\int\limits_0^{\frac{\pi }{2}} {f\left( {\sin x} \right)\cos xdx + 3\int\limits_0^1 {f\left( {3 - 2x} \right)} } dxI=20∫2πf(sinx)cosxdx+30∫1f(3−2x)dx
Cho hàm số y=f(x)={x2+3khi x≥15−x khi xlt;1y = f\left( x \right) = \left\{ \begin{array}{l}{x^2} + 3\quad khi\;x \ge 1\\5 - x\quad \;\,khi\;x < 1\end{array} \right.y=f(x)={x2+3khix≥15−xkhixlt;1. Tính I=2∫0π2f(sinx)cosxdx+3∫01f(3−2x)dxI = 2\int\limits_0^{\frac{\pi }{2}} {f\left( {\sin x} \right)\cos xdx + 3\int\limits_0^1 {f\left( {3 - 2x} \right)} } dxI=20∫2πf(sinx)cosxdx+30∫1f(3−2x)dx
