How Do You Interpret the Integral \int_0^a dxf(x) in Calculus?

[seanhbailey]

Homework Statement

I recently came across a simple type of integral that I did not know how to evaluate. Generally speaking how would one interpet $$\int_0^a dxf(x)$$?

Homework Equations

The Attempt at a Solution

At a glance, I thought to integrate with respect to 1, but then noticed the f(x) touching the differential. I have never seen this before.

 

[vela]

That's just a different way of writing

$$\int_0^a f(x)dx$$

 

[seanhbailey]

I feel like an idiot. Thank you very much.