Question

The area of the region bounded by the curve y = x + 1 and the lines x = 2 and x = 3 is ______.

Options

• `7/2` sq.units

• `9/2` sq.units

• `11/2` sq.units

• `13/2` sq.units

Answer 1

The area of the region bounded by the curve y = x + 1 and the lines x = 2 and x = 3 is `7/2` sq.units.

Explanation:

Given equation of lines are = x + 1, x = 2 and x = 3

Required area = `int_2^3 (x + 1) "d"x`

= `[x^2/2 + x]_2^3`

= `(9/2 + 3) - (4/2 + 2)`

= `15/2 - 4`

= `7/2` sq.units