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Let f (a)(x) =In x and for n ge 0 and x...

Let `f _(a)(x) =In x and ` for `n ge 0 and x gt 0`
Let `f _(a)(x) = int _(0) ^(x)f _(a) (t) dt` then:
`f _(a) (x )` equals :

A

` (x ^(3))/(3 ) (ln x - (5)/(6))`

B

` (x ^(3))/( 3) (ln x - (11)/(6))`

C

`(x ^(3))/(lfloor3) (ln x -(11)/(6 )) `

D

`(x ^(3))/(lfloor3)(lnx -(5)/(6))`

Text Solution

Verified by Experts

The correct Answer is:
C
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