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If `overset(x)underset(e )int t f(t)dt=sin x-x cos x-(x^(2))/(2)` for all `x in R-{0}`, then the value of `f((pi)/(6))` will be equal to

A

`0`

B

`1`

C

`-1//2`

D

`3//2`

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-SOLVED EXAMPLES (LEVEL 1 ) Single Correct Answer Type Questions
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  9. If n in N, the value of int(0)^(n) [x] dx (where [x] is the greatest i...

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