二重积分:∫∫D(2-x-ydxdy)dxdy 其中D是由y=x^2与y=x所围成的区域

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∫∫D (2 - x - y) dxdy
= ∫(0→1) dx ∫(x²→袭绝喊x) (2 - x - y) dy
= ∫(0→1) (2y - xy - y²/2)：(x²→宏乱x) dx
= ∫(0→1) [(2x - x² - x²/2) - (2x² - x³ - x⁴/2)] dx
= ∫(0→1) (2x - 7x²/2 + x³拍野 + x⁴/2) dx
= 2 * 1/2 - 7/2 * 1/3 + 1/4 + 1/2 * 1/5
= 11/60

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