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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
Solution
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
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