# Math Help - Proving a Property of Integrals

1. ## Proving a Property of Integrals

I can't seem to prove the following property:

I want to prove that if $f(x)\geq 0$ then $\int_a^bf(x)dx \geq 0$ for all $x$ in $[a,b]$.

Can anyone help me get started? I know I need to use the definition of an integral.

2. Remember that the integral of a function f(x) is just the surface under the function. Since the function is always positive the surface will also be positive.