Question

The area bounded by the curve `y = 3/2sqrtx`, the line x = 1 and x-axis is ______ sq. units.

Options

• 2

• 1

• 6

• None of these

Answer 1

The area bounded by the curve `y = 3/2sqrtx`, the line x = 1 and x-axis is 1 sq. units.

Explanation:

`"Area" = int_0^1 y  dx = int_0^1 3/2 sqrtx  dx`

= `3/2 [2/3 x^(3"/"2)]_0^1 = [x^(3"/"2)]_0^1`

= 1^3/2 − 0 = 1 sq. unit