y=cosx(0

问题描述:

y=cosx(0

y=cosx(0≦x≦3π/2)与坐标轴所围成的面积是
S=[0,π/2]3∫cosxdx=3(sinx)︱[0,π/2]=3
或S=[0,π/2]∫cosxdx+[π/2,3π/2]︱∫cosxdx︱=sinx︱[0,π/2]+︱sinx︱[π/2,3π/2]
=1+︱sin(3π/2)-sin(π/2)︱=1+︱-1-1︱=1+2=3.