Integral of $$$\sqrt{x^{2} - x + 1} + \sqrt{x^{2} + x + 1}$$$

The calculator will find the integral/antiderivative of $$$\sqrt{x^{2} - x + 1} + \sqrt{x^{2} + x + 1}$$$, with steps shown.

Find $$$\int \left(\sqrt{x^{2} - x + 1} + \sqrt{x^{2} + x + 1}\right)\, dx$$$.