※ 引述《q970105 (q99)》之銘言：
: 逢甲102微積分計算第4題
: Evaluate ∫∫(4x+2)dA,where D is the region bound by the curves y=x and y=x^2.
: D
: 麻煩大家了!
∫∫(4x+2)dA
D
1 x
= ∫∫4x + 2 dydx
0 x^2
1
= ∫(4x + 2)(x - x^2) dx
0
1
= ∫ -4x^3 + 2x^2 + 2x dx
0
= -1 + 2/3 + 1
= 2/3