If `int(cos4x+1)/(cotx-tanx)dx = Af(x)+B ,t h e n` (a)`A=-1/8` (b) `B=1/2` (c) `f(x)` has fundamental period `pi/2` (d)`f(x)` is an odd function

If int (cos4x+1)/(cotx-tanx)dx=Af(x)+B, then

If : int(1+cos4x)/(cotx-tanx)dx=A.cos 4x+B , then

int(cos4x-1)/(cotx-tanx)dx is equal to

"If " int(cos 4x+1)/(cotx-tanx)dx=Acos4x+B, " then "

If int(cos4x+1)/(cotx-tanx)dx=kcos4x+c , then k= (A) -1/4 (B) -1/2 (C) -1/8 (D) none of these

If int_0^x f(t)dt=x+int_x^1 t f(t)dt , then f(1)= (A) 1/2 (B) 0 (C) 1 (D) -1/2

If f(x)=int(x^(8)+4)/(x^(4)-2x^(2)+2)dx and f(0)=0, then (a) f(x) is an odd function (b) f(x) has range R(c)f(x) has at least one real root (d) f(x) is a monotonic function.

If the derivative of f(x)w.r.t.x is ((1)/(2)-sin^(2)x)/(f(x)) then f(x) is a periodic function with fundamental period