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if int (3^((1)/(x)))/(x^(2)) dx = k (3^...

if `int (3^((1)/(x)))/(x^(2)) dx = k (3^((1)/(x))) + c `, then the value of k is

A

log3

B

`-log3`

C

`-(1)/(log3)`

D

`(1)/(log3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If int(m^((1)/(x)))/(x^(2))dx=k(m^((1)/(x)))+c then k is:

    A
    `logm`
    B
    `log((1)/(m))`
    C
    `(-1)/(logm)`
    D
    `(1)/(logm)`

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