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int(tan(logx))/(x)dx=?...

`int(tan(logx))/(x)dx=?`

A

`xtan(logx)+C`

B

`log|tanx|+C`

C

`log|cos(logx)|+C`

D

`-log|cos(logx)|+C`

Text Solution

Verified by Experts

The correct Answer is:
D
Put `logx=t and(1)/(x)dx=dt`.
`:." "I=inttan"t dt"=-log|cost|+C`
`=-log|cos(logx)|+C`.
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