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int(cosx)/(3 cosx+ 4 sin x)dx=...

`int(cosx)/(3 cosx+ 4 sin x)dx=`

A

`(4)/(25)log|3 cos x+4 sin x|-(1)/(25)x+c`

B

`(4)/(35)log|3 cos x-4 sin x|+(2)/(25)x+c`

C

`(4)/(25)log|3 cos x-4 sin x|-(2)/(25)x+c`

D

`(4)/(25)log|3 cos x+4 sin x|+(3)/(25)x+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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