HMMT 二月 2003 · CALC 赛 · 第 3 题
HMMT February 2003 — CALC Round — Problem 3
题目详情
英文原题
- What is the area of the region bounded by the curves y = x and y = x andlying above the x -axis?
解析
英文解析
- What is the area of the region bounded by the curves y = x and y = x andlying 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
x x 10011
1 / 2003 2003
x − x dx = − = .
2004 / 2003 2004 1002
00