95年 - 95 國立政治大學轉學生招生考試_應用數學系：微積分(二)#122847

科目：研究所、轉學考(插大)-微積分 | 年份：95年 | 選擇題數：0 | 申論題數：20

試卷資訊

所屬科目：研究所、轉學考(插大)-微積分

選擇題 (0)

申論題 (20)

1. ∫du

2.

3.

4. ∫x²e^xdx

5.

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10.

11.

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13. Evaluatedt.

14. Find the area between the curves y=sec²x and y=sinx from 0 to π/4.

15. Find the area of the region in the first quadrant that is bounded above by the curve y=and below by the x-axis and the line y=x-2.

16. Find the volume of the solid generated by revolving the region bounded by y=√x and the lines y=1 and x=4 about the line y=1.

17. Find the length of the curve from x=0 to x=2.

18. Find the area of the surface generated by revolving the curve y=x³, 0≤x≤1/2, about the x-axis.

19. Find the area of the region that lies inside the circle r=1 and outside the cardioid r=1-cosθ.

20. Calculate ∫_R∫f(x,y)dA for f(x,y)=1-6x²y and R: 0≤x≤2, -1≤y≤1.