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If int tan^(7) x dx = f(x) + log |cos x...

If `int tan^(7) ` x dx = f(x) + log |cos x | +c then f(x) =

A

`(1)/(6) tan^(6) x + (1)/(4) tan^(4)x + (1)/(2) tan^(2) x `

B

`(1)/(6) tan^(6) x + (1)/(4) tan^(4)x - (1)/(2) tan^(2) x `

C

`(1)/(6) tan^(6) x + (1)/(4) tan^(4)x + tan^(2) x `

D

`(1)/(6) tan^(6) x - (1)/(4) tan^(4)x + (1)/(2) tan^(2) x `

Text Solution

Verified by Experts

The correct Answer is:
D
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