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int (cos x)/(2 sin^(2)x-3 sinx+4)dx=...

`int (cos x)/(2 sin^(2)x-3 sinx+4)dx=`

A

`(2)/(sqrt(23))Tan^(-1)((4sin x-3)/(sqrt(23)))+c`

B

`(2)/(sqrt(23))Tan^(-1)((4sin x+3)/(sqrt(23)))+c`

C

`(2)/(sqrt(24))Tan^(-1)((4sin x-3)/(sqrt(24)))+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
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