Question

Find the area of the region bounded by the parabola y² = 16x and the line x = 3.

Answer 1

`y^2 = 16x`

`area =2int_0^3ydx`

`=2int_0^34 sqrtxdx`

`=8 2/3[x^(3/2)]_0^3`

`=16/3[3^(3/2)]`

`=16/3[3xx3^(1/2)]`

`=16[3^(1/2)]`

`=16sqrt3 sq.units`