intsec^(5)xtanxdx=?...

`intsec^(5)xtanxdx=?`

A

`5tan^(5)x+C`

B

`(1)/(5)tan^(5)x+C`

C

`5log|cosx|+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:

B

Put sec x = t and sec x tan c dx =dt.
`:." "I=intsec^(4)x(secxtanx)dx=intt^(4)dt=(t^(5))/(5)+C`.

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