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int (cos 2 x. sin 4x)/(cos ^(4) x(1+ cos...

`int (cos 2 x. sin 4x)/(cos ^(4) x(1+ cos ^(2) 2x))dx =`

A

`log [(1+ cos ^(2) x)/(1+cos 2x)]-tan ^(2) x + c `

B

`log ((1+ cos ^(2) x)/(1+cos 2x))-tan ^(2) x + c `

C

`log ((1+ cos ^(2) x)/(1+cos 2x))-sec ^(2) x + c `

D

`log (((1+ cos ^(2) x)^(2))/(1+cos 2x))-sec ^(2) x + c `

Text Solution

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The correct Answer is:
D
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