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#116814

i.

ii.

iii.

iv.

v.

vi.

i.∫ (Inx)²dx

ii.∫ sec xdx

iii.∫2x tan^-1 xdx

iv.If f(x,y) = xy,evaluatewhere D is the region

bounded by the line y=x-1 and the parabola y²=2x+6.

v.

3. (7%) Find the value of p for which the integral converges..

5. (8%) What is the maximum error possible in using the approximation x3 x sinx when -0.5≤x≤0.5.