What is the difference between definite and indefinite integrals?

Question

9405 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-10-10T09:55:14

Indefinite integrals have no lower/upper limits of integration. They are general antiderivatives, so they yield functions.

$int f(x) dx=F(x)+C$ ,

where $F'(x)=f(x)$ and $C$ is any constant.

Definite integrals have lower and upper limits of integration ( $a$ and $b$ ). They yield values.

$int_a^b f(x) dx = F(b)-F(a)$ ,

where $F'(x)=f(x)$ .

I hope that this was helpful.