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HMMT 二月 2003 · CALC 赛 · 第 3 题

HMMT February 2003 — CALC Round — Problem 3

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. What is the area of the region bounded by the curves y = x and y = x and lying above the x -axis?
解析
  1. What is the area of the region bounded by the curves y = x and y = x and lying above the x -axis? Solution: 1001 / 1002 The two curves intersect at (0 , 0) and (1 , 1), so the desired area is [ ] ∫ 2004 / 2003 2004 1 ( ) 1 x x 1001 1 / 2003 2003 x − x dx = − = . 2004 / 2003 2004 1002 0 0