Question

Find the area of the region bounded by the curve y² = x and the lines x = 1, x = 4 and the x-axis.

Answer 1

We know that y² = x represents right hand parabola with vertex (0,0) 

Required area is shaded area:-

⇒ \(2\times \frac{14}{3} = \frac{28}{3}sq. \)units