Review question

Can we solve these simultaneous equations with integrals? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6076

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. $2$.