What is the area bounded by y=[x] , where [ ] is the greatest integer function, the x -axis and the lines x=-1.5 and x=-1.8 ?

Step-by-step solution

Given y=[x] and x=-1.5, x=-1-8 aligned & Here _ -1.8 ^ -1.5 [x] d x= _ -1.8 ^ -1.5 -2 d x=-2[x]_ -1.8 ^ -1.5 & =-2[-1.5+1.8] & =-0.6 & =0.6 square unit. aligned