07 mathematics three postgraduate entrance examination questions, double integral big questions, how to find double integral in polar coordinates. Details, the key is to find the upper and lower integral of R.
The upper bound of R corresponds to the straight line x+y=2, that is, rcosθ+rsinθ=2, so the upper bound is 2/(cosθ+sinθ).
The lower bound of r corresponds to the straight line x+y= 1, that is, rcosθ+rsinθ= 1, so the upper bound is 1/(cosθ+sinθ).