Question

Fill in the blank :

The area of the region bounded by the curve x² = y, the X-axis and the lines x = 3 and x = 9 is _______.

Answer 1

Required area = `int_3^9 y*dx`

= `int_3^9 x^2*dx`

= `[x^3/3]_3^9`

= `(1)/(3)(9^3 - 3^3)`

= `(1)/(3)(729 - 27)`

= `(702)/(3)`
= 234 sq. units.