If `int(dx)/(sin^(6)x+cos^(6)x)=cot^(-1)(f(x))+c` then `[f((pi)/(6))] =`
( Where [.] denotes G.I.F)

If int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^(-1)[f(x)]+c , then f(pi/3)=

If f(x)=cot^(-1)sqrt(cos2x)," then: "f'((pi)/(6))=

For x in(0, (pi)/(2)) If int(tan x sqrt(sec x)(1+cos^(2)x))/(sqrt(cos x+sin^(2)x))dx=2sqrt(f(x)+1)+c and f((pi)/(3))=(3)/(2) then [f((pi)/(4))] = ( where [.] denotes G.I.F )

If int(1)/(sin(x-a)cos(x-a))dx=log[f(x)]+c , then f(x)=

For x in [0, (pi)/(2)] if int(tan x sqrt(sec x)(1+cos^(2)x))/(sqrt(cos x+sin^(2)x))dx=2sqrt(f(x)+1)+c and f((pi)/(3))=(3)/(2) then f((pi)/(4)) = (where[.] denotes I F)

If f(x)=sin^(6)x+cos^(6)x, then range of f(x)

if int e^(sin x)(x cos^(3)x-sin x)/(cos^(2)x)dx and f(0)=1 then f(pi)= is

If int_(a)^(b)(f(x)-3x)dx=a^(2)-b^(2) then the value of f((pi)/(6)) is

If f(x)=|cos x| ,then [sqrt(6)f'((pi)/(4))] is : (where [.] denotes greater integer function

If int_(a)^(b) {f(x)-3x}dx=a^(2)-b^(2) , then the value of f((pi)/(6)) , is