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108 台灣大學微積分(B) 第 19 題

考題 / 轉學考微積分 / 台灣大學 / 微積分B

108學年度 · 108台大微積分B · 第 19 題

題目

Problem

PART 1: Fill in the blanks.

  • Work need not be shown, only answers will be graded.

  • 4 points for each blank and 100 points total.

  • Each answer need to be clearly labeled on the answer sheet.

  • Use of any device with computer algebra system during the exam will result in zero points.

  1. Let CC be the curve consisting of line segments from (0,0)(0,0) to (2,1)(2,1) to (1,2)(1,2) to (0,0)(0,0).

C(xy)dx+(2x+y)dy=(24)\displaystyle\int_C (x-y)\,dx+(2x+y)\,dy=\underline{\quad(24)\quad}.

解答