定义F(x,y)=(1+x) y ,x,y∈(0,+∞),令函数f(x)=F(1,log 2 (x 2 -4x+9))的图象为曲线C,曲线C与y轴交于点A(0,m),过坐标原点O向曲线C作切线,切点为B(n,t)(n>0),设曲线C在点A、B之间的曲线段与线段OA、OB所围成图形的面积为S,求S的值.
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