My question is, how can I evaluate the following integral? Am I supposed to use Euler substitution here or is there a simpler way?
$$\int \frac{1}{\sqrt{x^2 + x + 1}} dx$$
Thanks.
2026-03-28 02:05:23.1774663523
How can I find $\int \frac{1}{\sqrt{x^2 + x + 1}} dx$
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Hint:
By completing the square and rescaling the variable, you will reduce the radicand to the form $t^2+1$, which calls for an inverse hyperbolic sine.