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int(1)/(xcos^(2)(1+logx))dx=?...

`int(1)/(xcos^(2)(1+logx))dx=?`

A

`tan(1+logx)+C`

B

`cot(1+logx)+C`

C

`sec(1+logx)+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Put `(1+logx)=t and(1)/(x)dx=dt`.
`:." "=int(1)/(cos^(2)t)dt=intsec^(2)tdt=tant+C`.
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