∫∫D (2 - x - y) dxdy
= ∫(0→1) dx ∫(x²→x) (2 - x - y) dy
= ∫(0→1) (2y - xy - y²/2)：(x²→x) dx
= ∫(0→1) [(2x - x² - x²/2) - (2x² - x³ - x⁴/2)] dx
= ∫(0→1) (2x - 7x²/2 + x³ + x⁴/2) dx
= 2 * 1/2 - 7/2 * 1/3 + 1/4 + 1/2 * 1/5
= 11/60
y=x^2及y= -x+2所围成的图形面积
∫∫D (2 - x - y) dxdy
= ∫(0→1) dx ∫(x²→x) (2 - x - y) dy
= ∫(0→1) (2y - xy - y²/2)：(x²→x) dx
= ∫(0→1) [(2x - x² - x²/2) - (2x² - x³ - x⁴/2)] dx
= ∫(0→1) (2x - 7x²/2 + x³ + x⁴/2) dx
= 2 * 1/2 - 7/2 * 1/3 + 1/4 + 1/2 * 1/5
= 11/60