Green's theorem using polar coordinates and substitution

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Question

Hi, I'm having doubts to how I'm supposed to draw the graph of the triangle, is it just $y=x\tan(\alpha)$ and $y= -x\tan(\alpha)$ and $x=1$ and sketch the region?.

Also for the integral I calculated it to be

$\frac{1}{2} \left[\tan(\alpha) + \frac{\tan^3(\alpha)}{3 }\right]. $

Is the integral calculation correct?