`f,g, h ,` are continuous in `[0, a],f(a-x)=f(x),g(a-x)=-g(x),3h(x)-4h(a-x)=5.` Then prove that `int_0^af(x)g(x)h(x)dx=0`

If fandg are continuous function on [0,a] satisfying f(x)=f(a-x)andg(x)+g(a-x)=2 then show that int_(0)^(a)f(x)g(x)dx=int_(0)^(a)f(x)dx

If f and g are continuous functions on [0,a] such that f(x)=f(a-x) and g(x)+g(a-x)=2 then show that int_(0)^(a)f(x)g(x)dx=int_(0)^(a)f(x)dx

If f\ a n d\ g are continuious on [0,\ a] and satisfy f(x)=f(a-x)a n d\ g(x)+g(a-x)=2. show that int_0^af(x)g(x)dx=int_0^af(x)dx

Let f and g be continuous functions on [ 0 , a] such that f(x)=f(x)=f(a-x)andg(x)+g(a-x)=4 , then int_(0)^(a) f(x)g(x) dx is equal to

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=

Let f and g be continuous fuctions on [0, a] such that f(x)=f(a-x)" and "g(x)+g(a-x)=4 " then " int_(0)^(a)f(x)g(x)dx is equal to

If f(x) and g(x) are continuous functions satisfying f(x)=f(a-x) and g(x)+g(a-x)=2 then what is int_0^a f(x) g(x) dx equal to