Question

The area of tbe region bounded by the curve y = x³ and the lines y = 8 and x = 0 is ______.

Options

• 16

• 8

• 10

• 12

Answer 1

The area of tbe region bounded by the curve y = x³ and the lines y = 8 and x = 0 is 12.

Explanation:

Required area = `int_0^8 x "dy" = int_0^8 "y"^(1//3)`dy

`= 3/4 ["y"^(4//3)]_0^8`

`= 3/4 (8^(4//3) - 0)`

= 12 sq. units