If f and g are continuous functions in `[0,1]` satisfying `f(x) = f(a - x) and g(x) + g(a - x) = a`, then `int_0^a f(x). g(x) dx` is equal to :

If f(x) = f(a - x) , then int_0^(a) xf(x) dx is equal to :

If f and g are continuous [0,a) satisfying f(x) = f(a-x) and g(x)+ g(a-x) = 2 then, int_0^(a) f(x) g(x) dx =

If d/(dx) f(x) = g (x) , then int_a^b f(x) g(x) dx is:

int f(x) dx = g(x) , then int f(x)g(x) dx =

If f(x) = ax+b and g(x) = cx+d then f(g(x)) = g(f(x)) is equivalent to

If int_0^1 f(x) dx = 1, int_0^1 xf(x) dx = a, int_0^1 x^2 f(x) dx = a^2 , then int_0^1 (a - x)^2 f(x) dx is equal to :

If f(x) = In (x), g(x) = x^3 then f(g(ab)) = …

Let f(x) be a function satisfying f'(x) = f(x) with f(0) = 1 and g(x) be a function that satisfies f(x) + g(x) = x^2 . Then the value of the integral int_0^1 f(x) g (x) dx is :