How do you go about integrating the reciprocal of a quadratic when it cannot be factorised (ruling out the use of partial fractions)?
E.g.
$$\int \frac{1}{x^2-x+1} dx$$
How do you go about integrating the reciprocal of a quadratic when it cannot be factorised (ruling out the use of partial fractions)?
E.g.
$$\int \frac{1}{x^2-x+1} dx$$