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## Homework Statement

Find whether the integral is convergent or not, and evaluate if convergent.

## Homework Equations

integral 1/sqrt(x^4+x^2+1) from 1 to infinity

## 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.