題目 Problem (L). Evaluate ∬Ω(y−xy+x)4 dxdy\displaystyle\iint_\Omega \left(\frac{y-x}{y+x}\right)^4\,\mathrm{d}x\mathrm{d}y∬Ω(y+xy−x)4dxdy, where Ω\OmegaΩ is the region in the first quadrant bounded by the lines x+y=1x+y=1x+y=1 and x+y=2x+y=2x+y=2. Answer. (13)‾\underline{\quad(13)\quad}(13). 解答