Question

Find the area of the region bounded by the following curves, X-axis and the given lines: x = 2y, y = 0, y = 4

Answer 1

Required area = `int_0^4 x*dy, "where"  x = 2y`

= `int_0^4 2y*dy`

= `[(2y^2)/2]_0^4`

= 16 – 0
= 16 sq units.