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int(secx tanx)/(9-16 tan^2x)dx=...

`int(secx tanx)/(9-16 tan^2x)dx=`

A

`(1)/(20)log|(5-4secx)/(5+4secx)|+c`

B

`(1)/(20)log|(5+4secx)/(5-4secx)|+c`

C

`(1)/(40)log|(5-4secx)/(5+4secx)|+c`

D

`(1)/(40)log|(5+4secx)/(5-4secx)|+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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