Question

using integration find the area of the region bounded by the line 2y=5x+7 the xaxis and the lines x=2andx=8

Answer 1

Required area = ∫82(5x+72) dx=12[5x22 + 7x]82=12[(160 + 56) − (10 + 14)]=12(216 − 24)=12 × 192=96 square units