I am trying to solve an integral numerically in Mathematica. The integrand is
x^2/((1-x^4)Sqrt[xm^4(1-xm^4)-x^4(1-x^4)]),
with lower limits: x = xm
, and upper limit x = Infinity
. Where xm=((1+Sqrt[1-a^2])/2)^(1/4)
and a
is any constant lets say a=0.2
.
Using NIntegrate
in Mathematica I got an error
"Integrate failed to converge to prescribed accuracy after 50 \ recursive bisections in x near {x} = \ {1.0000000000000000010207139609231930075006998480154358397633601823358\ 2911765290712976879587123209719525842623480662534192183469748716277627\ 1045933514870560125091416879336103379976452739253556510672066452891154\ 3397372398189215735216474671862275042165790}."
Can anybody please explain to me what is the main problem here, and how to minimize the above error massage and find the correct answer.
Thanks.
x->xm
$\endgroup$ – Ulrich Neumann Jul 18 '18 at 10:23