Question 1041796
{{{A = int((1-x^(-2)),dx,1,k) = (x+1/x)1^k = k + 1/k - 2 = 6}}}

===> {{{k^2 + 1 - 2k = 6k}}}  ===> {{{k^2 - 8k + 1 = 0}}}

===> {{{k = (8 +- sqrt( 64-4*1*1 ))/2 }}}

==>  {{{k = (8 + sqrt( 64-4*1*1 ))/2  = highlight(4+sqrt(15))}}},

since {{{4 - sqrt(15) < 1}}}.