1. The problem statement, all variables and given/known data Find whether the integral is convergent or not, and evaluate if convergent. 2. Relevant equations integral 1/sqrt(x^4+x^2+1) from 1 to infinity 3. The attempt at a solution 1/sqrt(x^4+x^2+1)<1/sqrt(x^4) 1/sqrt(x^4)=1/x^2 which is convergent for 1 to infinity and is 1 therefore, the original function is convergent I can't seem to find the antiderivative of the original function after this.