Home
Class 12
MATHS
Let 'f is a function, continuous on [0,1...

Let 'f is a function, continuous on `[0,1]` such that `f(x) leq sqrt5 AA x in [0,1] and f(x) leq 2/x AA x in [1/2,1]` then smallest 'a' for which `int_0^1 f(x)dx leq a` a holds for all 'f' is

Promotional Banner

Similar Questions

Explore conceptually related problems

Let 'f is a function, continuous on [0,1] such that f(x) leq sqrt5 AA x in [0,1/2] and f(x) leq 2/x AA x in [1/2,1] then smallest 'a' for which int_0^1 f(x)dx leq a holds for all 'f' is

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

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(0) = 1 and f(x)-f (x/7) = x/7 AA x in R , then f(42) is

Let f: (-2, 2) rarr (-2, 2) be a continuous function such that f(x) = f(x^2) AA Χin d_f, and f(0) = 1/2 , then the value of 4f(1/4) is equal to

If f is continuous on [0,1] such that f(x)+f(x+1/2)=1 and int_0^1f(x)dx=k , then value of 2k is 0 (2) 1 (3) 2 (4) 3

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 all x in[0,a] then int_0^a dx/(1+e^f(x) is equal to

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