Question

Question #f27d5

Answer 1

No, there is not enough information. Prove this by finding a counter example to the claim that there IS enough information.

Explanation:

Find two function whose integral from 0 to 1 is 2. But whose integrals of their squares are different.

One obvious choice is `g(x)=2`, so `int_0^1 (g(x))^2 dx = 4`

I leave it to the students to find another function `g` with `int_0^1 g(x) dx = 2` but with `int_0^1 (g(x))^2 dx != 4`.