How can we define integral with interval $[b,\infty)$
$$ \begin{align} C(b,\alpha) & = \int_b^\infty \frac{1}{1+w^{\alpha/2}}\,\mathrm{d}w \\[8pt] & = 2\pi/\alpha \csc(2\pi/\alpha)-b_2 F_1 (1,2/\alpha;(2+\alpha)/\alpha;-b^{\alpha/2}) \end{align} $$
where $_2F_1(\cdot)$ is the Gaussian hypergeometric function
Can anyone help me step by step with this or give some hint where to start since i'm still studying math
best,