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a
f(x) is a polynomial of degree 8 intan x
b
f(x) is a polynomial of degree 5 in tan x
c
f(x) =16tan6x-14tan4x+12tan2x+log|cosx|+C
d
f(x) is a polynomial of degree 6 in tan x
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Correct option is C
Putting tanx=t we have dx=dt1+t2, So∫tan7x dx=∫t71+t2 dt=∫t5-t3+t-t1+t2dt=t66-t44+t22-12log1+t2+C=16tan6x-14tan4x+12tan2x-12logsec2x+C=16tan6x−14tan4x+12tan2x+log|cosx|+C.Similar Questions
is equal to
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