Area bounded by y=sec^-1x,y=cot^-1x and ...

Area bounded by `y=sec^-1x`,`y=cot^-1x` and line x=1 is given by

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`x=sec(cot^(-1)x)`
`x=sqrt(1+x^2)/x`
`x^2=sqrt(1+x^2`
let`x^2=t`
`t=sqrt(1+t)`
`t^2=1+t`
`t^2-t-1=0`
`t=(1pmsqrt(1+4))/2=(1pmsqrt5)/2`
...

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