Question

Given a function \(f(x)\), you are told that \[\int_0^1 3f(x)\,dx+\int_1^2 2f(x)\,dx=7,\] \[\int_0^2 f(x)\,dx+\int_1^2 f(x) \,dx=1.\] It follows that \(\int_0^2 f(x) \,dx\) equals

  1. \(-1\),

  2. \(0\),

  3. \(\dfrac{1}{2}\),

  4. \(2\).