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int(sec^2x)/(2 tan^2x+7 tanx +13)dx=...

`int(sec^2x)/(2 tan^2x+7 tanx +13)dx=`

A

`(1)/(sqrt(55))tan^(-1)((4tanx+7)/(sqrt(55)))+c`

B

`(1)/(sqrt(55))tan^(-1)((tanx+7)/(sqrt(55)))+c`

C

`(2)/(sqrt(55))tan^(-1)((4tanx+7)/(sqrt(55)))+c`

D

`(2)/(sqrt(55))tan^(-1)((tanx+7)/(sqrt(55)))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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