If `f9x)=(log)_e((x^2+e)/(x^2+1))` , then the range of `f(x)i s` (0,1) (b) (0,1) (0,1) (d) (0,1)

If f(x)=(log)_e((x^2+e)/(x^2+1)) , then the range of f(x)

If f(x)=int_(x^2)^(x^2+1)e^-t^2dt , then f(x) increases in (0,2) (b) no value of x (0,oo) (d) (-oo,0)

The domain of f(x)i s(0,1)dot Then the domain of (f(e^x)+f(1n|x|) is (-1, e) (b) (1, e) (-e ,-1) (d) (-e ,1)

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

The domain of f(x)i s(0,1)dot Then the domain of (f(e^x)+f(1n|x|) is (a) (-1, e) (b) (1, e) (c) (-e ,-1) (d) (-e ,1)

If f(x)=sin(log)_e{(sqrt(4-x^2))/(1-x)} , then the domain of f(x) is _____ and its range is __________.

If f(x) =(e^x)/(1+e^x), I_1=int(f(-a))^(f(a)) xg(x(1-x)dx, and I_2=int_(f(-a))^(f(a)) g(x(1-x))dx, then the value of (I_2)/(I_1) is (a) -1 (b) -2 (c) 2 (d) 1

The domain of f(x)="log"|logx|i s (a) (0,oo) (b) (1,oo) (c) (0,1)uu(1,oo) (d) (-oo,1)

If f(x)=log_(e)((1-x)/(1+x)),|x| lt 1, " then " f((2x)/(1+x^(2))) is equal to

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