xE[-1,1]arcsinxE[-π/2,π/2]arcsinx=ty=t^2-2t=(t-1)^2-1 t=1 时 ymin=-1又π/2-1<(1-(-π/2)) 所以最大值是t=-π/2时取值,即ymax=π^2/4-πyE[-1,π^2/4-π]