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If {x} represents the fractional part of...

If {x} represents the fractional part of then `underset(0)overset(9)(f){sqrt(x)}dx` is equal to

A

5

B

`(69)/(3)`

C

`(79)/(3)`

D

`(89)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
`underset(0)overset(9)(f){sqrt(x)}dx=underset(0)overset(9)(f)(sqrt(x)-[sqrt(x)])dx`
`(x^(3//2))/(3//2)underset(0)overset(9)(|)-(underset(0)overset(1)(f)0*dx+underset(1)overset(4)(f)1dx+underset(4)overset(9)(f)2dx)=18-13=5`
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