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The primitive of the function f(x)=...

The primitive of the function
`f(x)=(1-(1)/(x^(2)))a^(x+(1)/(x))x,gt0`, is

A

`(a ^(x + (1)/(x )))/(log _(e) a )`

B

`(log _(e) a) .a^(x + (1)/(x))`

C

`(a ^(x + (1)/(x )))/(x) . log _(e) a`

D

`(xa ^(x + (1)/( x)))/( log _(e) a)`

Text Solution

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The correct Answer is:
A
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