Multiple integrals: Applications of multiple integrals
Average value of a function of 2 or 3 variables
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 \(\ell: 2\,x+4\,y+5=0\). The situation is shown in the figure below
| \(\text{average distance } ={}\) |
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