Let `f(x) =int_1^x e^t/tdt,x in R^+` . Then complete set of valuesof x for which `f(x) leq In` x is

Let f(x)=a^(x)-x ln a,a>1. Then the complete set of real values of x for which f'(x)>0 is

Let f(x)=a^x-xlna , a>1. Then the complete set of real values of x for which f'(x)>0 is

Let, f: R rarr R be given by f(x)=(x+1)^(2)-1 , x ge-1 . Then the set of values of x for which f(x)=f^(-1)(x) is given by

f(x)=int_(0)^(1)|t-x|tdt

Let function F be defined as f(x)= int_1^x e^t/t dt x > 0 then the value of the integral int_1^1 e^t/(t+a) dt where a > 0 is

Let f(x)=int_0^x (cost)/tdt Then at x=(2n+1)pi/2 f(x) has

If f(x)=1+1/x int_1^x f(t) dt, then the value of f(e^-1) is