Equation of curve ⇒y=x2 Equation of line ⇒y=2x+3 Line intersect the curve ∴x2=2x+3 ⇒x2−2x−3=0 ⇒x2−3x+x−3=0 ⇒x(x−3)+1(x−3)=0 ⇒(x−3)(x+1)=0⇒x=3,−1 So the line cut the curve at x=3 and x=−1
Now area of the region bounded by curve = area below the line – area below curve ∴ Area =