If `f(x)` is a continuous function such that `f(x)|0, AA x in [2,10] and int_4^8 f(x)dx=0,` then find

If f(x) is a continous function such that f(x)|0,AA x in[2,10] and int_(4)^(8)f(x) dx=0 , then find f (6)

If f(x) is a continous function such that f(x)|0,AA x in[2,10] and int_(4)^(8)f(x) dx=0 , then find f (6)

If f(x) is a continous function such that f(x)|0,AA x in[2,10] and int_(4)^(8)f(x) dx=0 , then find f (6)

If f(x) and g(x) be continuous functions in [0,a] such that f(x)=f(a-x),g(x)+g(a-x)=2 and int_0^a f(x)dx=k , then int_0^a f(x)g(x)dx= (A) 0 (B) k (C) 2k (D) none of these

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

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

A continous function f(x) is such that f(3x)=2f(x), AA x in R . If int_(0)^(1)f(x)dx=1, then int_(1)^(3)f(x)dx is equal to

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 int_0^a dx/(1+e^(f(x)))= (A) a (B) a/2 (C) 1/2f(a) (D) none of these