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int (2)^(3){x} dx is equal to (where {....

`int _(2)^(3){x}` dx is equal to (where {.} denotes, fractional part of x)

A

`17/2`

B

`7/2`

C

`5/2`

D

`1/2`

Text Solution

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The correct Answer is:
D
`int_(2)^(3) {x} dx = int_(2)^(3) (x - [x]) dx `
`= int_(2)^(3) (x - 2) dx `
`= [ (x^(2))/(2) - 2x ] _(2)^(3)`
= `(9)/(2) - 6- [ 2 - 4] = (1)/(2)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 18-PAPER 2 (MATHEMATICS)
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