Home
Class 12
MATHS
Let f: RvecR be a continuous function an...

Let `f: RvecR` be a continuous function and `f(x)=f(2x)` is true `AAx in Rdot` If `f(1)=3,` then the value of `int_(-1)^1f(f(x))dx` is equal to 6 (b) 0 (c) `3f(3)` (d) `2f(0)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f:R rarr R be a continuous function and f(x)=f(2x) is true AA x in R .If f(1)=3 then the value of int_(-1)^(1)f(f(x))dx is equal to (a)6(b) 0 (c) 3f(3)( d) 2f(0)

Let f:R to R be continuous function such that f(x)=f(2x) for all x in R . If f(t)=3, then the value of int_(-1)^(1) f(f(x))dx , is

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

A continuous real function f satisfies f(2x)=3(f(x)AA x in R. If int_(0)^(1)f(x)dx=1 then find the value of int_(1)^(2)f(x)dx

If 2f(x) - 3 f(1//x) = x," then " int_(1)^(2) f(x) dx 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, the value of the integral int_(0)^(a) (1)/(1+e^(f(x)))dx is equal to

If f(x) is a continuous function satisfying f(x)=f(2-x) , then the value of the integral I=int_(-3)^(3)f(1+x)ln ((2+x)/(2-x))dx is equal to

Let f(x) be a non-negative continuous function defined on R such that f(x)+f(x+1/2)=3 , then the value of 1/1008 int_(0) ^(2015) f(x) dx is

If a continuous function f on [0,a] satis fies f(x)f(a-x)=1,a>0 then find the value of int_(0)^(a)(dx)/(1+f(x))