Question

Find the area of the region bounded by the curve y = x², the X−axis and the given lines x = 0, x = 3

Answer 1

Let A be the required area.

Consider the equation y = x² 

∴ A = `int_0^3 y  "d"x`

= `int_0^3 x^2  "d"x`

= `[x^3/3]_0^3`

= `1/3(3^3 - 0)`

= 9 sq.units