What is the difference between definite and indefinite integrals?

1 Answer
Oct 10, 2014

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.