If `f(2-x)=f(2+x),f(4+x)=f(4-x)` and `int_0^2f(x)dx=5` then `int_0^50 f(x)dx` is

If f(a-x)=f(x) and int_(0)^(a//2)f(x)dx=p , then : int_(0)^(a)f(x)dx=

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

If f(x)=f(4-x), g(x)+g(4-x)=3 and int_(0)^(4)f(x)dx=2 , then : int_(0)^(4)f(x)g(x)dx=

if f(x)=|x-1| then int_(0)^(2)f(x)dx is

if f(x)=|x-1| then int_(0)^(2)f(x)dx is

If f(x) and g(x) are continuous functions on the interval [0, 4] satisfying f(x)=f(4-x) and g(x)+g(4-x)=3 and int_(0)^(4) f(x)dx=2 then int_(0)^(4) f(x)g(x)dx=

int_(0)^(a)f(x)dx=int_(a)^(0)f(a-x)dx .

Prove that int_-2^2 f(x^4)dx=2int_0^2 f(x^4)dx

Prove that int_-2^2 f(x^4)dx=2int_0^2 f(x^4)dx