chapter  7
14 Pages

Areas and volumes

Theintegralgivesanegativeareabecausetheareaisbelowthe x-axis.Foranareabetweenx=2andx=3wehave

Theintegralgivesapositiveareabecausetheareaisabovethexaxis.Foranareabetweenx=0andx=3wehave

Thisisbecausetheareaabovethex-axisiscancelledbythearea below.theaxis.