Ok, so I complete the square and got \int \frac{1}{((x^{2}+\frac{1}{2})^{2}+\frac{3}{4})^{\frac{1}{2}}} . I am still not seeing a way find an antiderivative though.
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...