所屬科目：研究所、轉學考(插大)-微積分
1. Solve the differential equation , where y(0)=1
2. (a) Find
(b) Find
3. Evaluate (a)sin3xcos xdx
(b)Evaluate
4. (a) Find
(b)f (x,y)=tan-1(y/x) , find.
5.Find the centroid of the region(區域質心) under the curve y=sin x , 0 ≤ x ≤ π .
6.Find the mass of the lamina(薄片質量) bounded by r=1+sinθ with the density δ(r,θ)=1 .
7.Find .
8.Evaluate (a)xdx
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, where y(0)=1
sin3xcos xdx
.
.
xdx