If `f(x)=int(3x^2+1)/((x^2-1)^3)dxa n df(0)=0,` then the value of `|2/(f(2))|` is___

Let g(x)=int(1+2cosx)/((cosx+2)^2)dxa n dg(0)=0. then the value of 8g(pi/2) is __________

If f(x)=inte^(x)(tan^(-1)x+(2x)/((1+x^(2))^(2)))dx,f(0)=0 then the value of f(1) is

If f'(x)=f(x)+int_(0)^(1)f(x)dx ,given f(0)=1 , then the value of f(log_(e)2) is

"If " f(x)=int(dx)/(x^(1//3)+2) " and "f(0)=12log_(e)2, " then the value of " f(-1) " is"-.

If f(x) =(3(Inx)^(2)+(In x)^(4))/(x(1+(In x)^(2)-(Inx)^(3))^(2))dx and f(1) = 0, then the value of |3f(e^(2))| is equal to

If int_(0)^(x^(2)(1+x))f(t)dt=x , then the value of f(2) is.

If f(x)=int(x^8+4)/(x^4-2x^2+2)dxa n df(0)=0,t h e n f(x) is an odd function f(x) has range R f(x) has at least one real root f(x) is a monotonic function.

Let f(x)=(x-1)(x-2)(x-3)(x-n),n in N ,a n df(n)=5040. Then the value of n is________

Let f(x)=int x^2/((1+x^2)(1+sqrt(1+x^2)))dx and f(0)=0 then f(1) is

If int_0^oox^(2n+1)dote^(-x^2)dx=360 , then the value of n is___