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101年 - 101 國立臺北大學_學士班暨進修學士班轉學生招生考試試題_資訊工程學系二年級:微積分#119102
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題組內容
2. Find the following definite or indefinite integrals: (35%) (each is 7%)
i.∫(Inx)
2
dx
其他申論題
iii.
#506900
iv.
#506901
V.
#506902
vi.
#506903
ii.∫sec xdx
#506905
iii.∫2x tan-1xdx
#506906
iv. If f(x,y) = xy, evaluatewhere D is the region bounded by the line y=x-1 and the parabola y2 =2x+6.
#506907
V.
#506908
3. (7%) Find the value of p for which the integral dx converges..
#506909
4. (8%)Find the directions in which the directional derivative of f(x,y)= ye-xy at the point (0,2) has the value 1.
#506910