### Calculus meets Functions

Package of problems

## Taking it further

Based on the ideas in this resource, what other related integrals involving $f(x)$ and $g(x)$ can we evaluate if we know that

$\int_0^3 f(x) \ dx = 7 \ \text{and} \ \int_0^3 g(x)\ dx =4\text{?}$

What related integrals can we not evaluate without knowing more about the functions?