Let f(x) be the continuous function such that f(x)=`(1-e^(x))/(x)` for `x!=0` then

Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in [0,a] . Then int_0^a dx/(1+e^(f(x)))= (A) a (B) a/2 (C) 1/2f(a) (D) none of these

Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in [0,a] . Then, the value of the integral int_(0)^(a) (1)/(1+e^(f(x)))dx is equal to

Let f(x) be continuous function such that f(0)=1,f(x)-f((x)/(7))=(x)/(7)AA x in R. The area bounded by the curve y=f(x) and the coordinate axes is

Let f(x) be a continuous function such that f(0)=1 and f(x)=f((x)/(7))=(x)/(7)AA x in R then f(42) is

Property 7: Let f(x) be a continuous function of x defined on [0;a] such that f(a-x)=f(x) then int_(0)^(a)xf(x)dx=(a)/(2)int_(0)^(a)f(x)dx

If f(x) is continuous at x=0 , where f(x)=(4^(x)-e^(x))/(6^(x)-1) , for x!=0 , then f(0)=

Let f(x) be real valued continuous function on R defined as f(x)=x^(2)e^(-|x|) then f(x) is increasing in