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Let f(x)=7tan^8x+7tan^6x-3tan^4x-3tan^2x...

Let `f(x)=7tan^8x+7tan^6x-3tan^4x-3tan^2x` for all `x in (-pi/2,pi/2)` . Then the correct expression (s) is (are) (a) `int_0^(pi/4)xf(x)dx=1/(12)` (b)`int_0^(pi/4)f(x)dx=0` (c)`int_0^(pi/4)xf(x)=1/6` (d) `int_0^(pi/4)f(x)dx=1/(12)`

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Let f (x) = 7 tan ^(8) x + 7 tan ^(6) x - 3 tan ^(4) x - 3 tan ^(2) x for all x in (-(pi)/(2), (pi)/(2)). Then the correct expression(s) is (are).

int_{0}^(pi/4)|tan x|dx

int_0^(pi/2)1/(1+tan^2x)dx

int_(0)^( pi)xf(sin x)dx=(pi)/(2)int_(0)^( pi)f(sin x)dx

int_(0)^(pi//4) tan x dx

int_(0)^(pi//4) tan^(6) x dx=