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int(1)/(3cos x+4sinx)dx=...

`int(1)/(3cos x+4sinx)dx=`

A

`(-1)/(5)log[(3tan.(x)/(2+1))/(9-3tan.(x)/(2))]+c`

B

`(1)/(5)log[(9-3tan.(x)/(2))/(3tan.(x)/(2)+1)]+c`

C

`(1)/(5)log[(3tan.(x)/(2)+1)/(9-3 tan.(x)/(2)]+c`

D

`(1)/(5)tan^(-1)[(1)/(9)tan.(x)/(2)]+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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