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Question: int(sqrt(t^4+1)-t^2, t = 1 .. infinity) is wrong

Question:int(sqrt(t^4+1)-t^2, t = 1 .. infinity) is wrong

_Maxim_ 734
int elliptic-integral
November 13 2017
0 
int(sqrt(t^4+1)-t^2, t = 1 .. infinity);
       -(1/3*I)*sqrt(2)*(-(2*I)*EllipticK(I)-EllipticK(I*sqrt(-2)))+(1/3*I)*sqrt(2)*EllipticF((1/2)*sqrt(2)+
       (1/2*I)*sqrt(2), I)+(1/3)*sqrt(2)*(-(2*I)*EllipticK(I)-EllipticK(I*sqrt(-2)))-(1/3)*sqrt(2)*
       EllipticF((1/2)*sqrt(2)+(1/2*I)*sqrt(2), I)-(1/3)*sqrt(2)+1/3

The result is the correct value for int(sqrt(t^4+1)-t^2, t = 1 .. -infinity).
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