Question

What is the difference between definite and indefinite integrals?

Answer 1

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.