$\large \sum_{x=1}^n (ax+b) - \int_0^n (ax+b) \, dx = ?$

**Hint:** There is a nice geometric interpretation of this that doesn't require any calculus, as long as you understand that the definite integral represents the area between the $x$-axis and the function between $x=0$ and $x=n$.

×

Problem Loading...

Note Loading...

Set Loading...