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. $2$.