Ok.(adsbygoogle = window.adsbygoogle || []).push({});

Im' confused between the difference of definite and indefinite integrals.

[tex]\int\limits_a_b[/tex]

[tex]\int[/tex]

The first integral here which is [tex]\int\limits_a_b[/tex] is about area below a curve.

Where a and b is the difference of the area under the function f(x). The [tex]\int\[/tex] is just the whole of all of the f(x) dx on an area.

Consider we have an area under the curve.

We will call the function f(x) = [tex]x^2[/tex]

The area under the curve is then defined as:

[tex]\int\limits_a_b f(x) dx = dL[/tex]

The [tex]\int\limits_a_b[/tex] is defined as all of dx of the function f(x) from a to b.

dx is a small infinitely small piece of the area under the curve.

dL is defined as the area.

I do not understand the integral:

[tex]\int[/tex] , which has no limits (a to b).

I know that this integral is backwards differenatation and requires a constant (I don't know what "arbitary" means, I think it means "fixed"?)

Such that,

[tex]\int x^2[/tex] = [tex]1/3^2 + C[/tex]

Help please?

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Definite and Indefinite intregrals.

**Physics Forums | Science Articles, Homework Help, Discussion**