Average value of a function of 2 or 3 variables

$x$ $x$ $x$ $x$ $x$ $x$ $x$ $x$ $x$

Calculate the average distance from the points in the quarter circle $x^2+y^2\le 4, x\ge 0, y\ge 0$ to the line $\ell: 4\,x+4\,y+5=0$ . The situation is shown in the figure below

$\text{average distance } ={}$

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