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.

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.

Let f(x)=int_(0)^(4)|x^(2)-4x-t|dt,x in(0,4) ,then the range of f(x) is

If f(x)= int_(x^2)^(x^(2) +4) e^(-t^(2) ) dt , then the function f(x) increases in

If f(x)=2^x-x^2 and f(x)=0 has m solutions f'(x)=0 has n solutions then m+n=

f(x)=int_0^x e^t f(t)dt+e^x , f(x) is a differentiable function on x in R then f(x)=

If f(x) is an odd function in R and f(x)={-x,0 then definition of f(x) in (-oo,0) is

If int(x^(2)-x+1)/((x^(2)+1)^((3)/(2)))e^(x)dx=e^(x)f(x)+c, then f(x) is an even function f(x) is a bounded function the range of f(x) is (0,1)f(x) has two points of extrema

Statement I The function f(x) = int_(0)^(x) sqrt(1+t^(2) dt ) is an odd function and g(x)=f'(x) is an even function , then f(x) is an odd function.

Let f:(0,oo)vec R be given by f(x)=int_((1)/(x))^(x)(e^(-(t+(1)/(t)))dt)/(t), then (a)f(x) is monotonically increasing on [1,oo)(b)f(x) is monotonically decreasing on (1,oo)(b)f(x) is an odd function of x on R