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int(dx)/(5-6 sin2x+9cos^2x)=...

`int(dx)/(5-6 sin2x+9cos^2x)=`

A

`(1)/(sqrt(34))cot^(-1)((5tanx-6)/(sqrt(34)))+c`

B

`(1)/(sqrt(34))tan^(-1)((5tanx-6)/(sqrt(34)))+c`

C

`(4)/(sqrt(34))tan^(-1)((5tanx-6)/(3sqrt(34)))+c`

D

`(2)/(sqrt(34))tan^(-1)((5tanx-6)/(2sqrt(34)))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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