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int1^4 {x-0.4}dx equals (where {x} is a...

`int_1^4 {x-0.4}dx` equals (where `{x}` is a fractional part of `x`

A

`13`

B

`6.3`

C

`1.5`

D

`7.5`

Text Solution

Verified by Experts

The correct Answer is:
C
Put `x-0.4=t`
`:. int_(0.6)^(3.6){t}dt=int_(0.6)^(0.6+3){t}dt`
`=3int_(0)^(1)(t-[t])dt=3((t^(2))/2)_(0)^(1)=3/2=1.5`
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