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"If " int(cos 4x+1)/(cotx-tanx)dx=Acos4x...

`"If " int(cos 4x+1)/(cotx-tanx)dx=Acos4x+B, " then "`

A

`A=-1//2`

B

`A=-1//8`

C

`A=-1//4`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`int(cos4x+1)/(cotx-tanx)dx=int(2cos^(2)2x)/(cos^(2)x-sin^(2)x)sinx cosx dx`
`=int cos2x sin2x dx`
`=(1)/(4)int sin4xdx=-(1)/(8)cos4x+C`
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