Can anyone help me understanding this integral solution?

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I was reading a research article in which authors used Chebyshev-Gauss Quadrature on an integral which is given as in the attached image. Can anyone help me out with any citation to understand how $B_4$ and $B_5$ are evaluated?

Thanks!

Chebyshev-Gauss Quadrature

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First, convert your integral limits by using the following method, $$\int_a^bf(x)\,\Bbb dx = \frac{b-a}{2}\int_{-1}^1f\bigg(\frac{b-a}{2}x+\frac{a+b}{2}\bigg)\,\Bbb dx.$$ Then using this link you can apply Chebyshev-Gauss Quadrature to find the values of $B_4$ and $B_5$.