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Let f(x)=int0^x (dt)/(1+t^2) If the area...

Let `f(x)=int_0^x (dt)/(1+t^2)` If the area of the figure surrounded by the normal line at `x=1` of `y=f(x)`, x-axis and the graph of `y=f(x)` is `pi^2/K+pi/4-lnsqrt2` sq units where `K in N` then `K=`

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