Changes

:<math>\int x^2\ \mathrm{d}x = \frac{x^3}{3} + C\,</math>,

:<math>\int x^2\ \mathrm{d}x = \frac{x^3}{3} + C\,</math>,

The Fundamental Theorem of Calculus says that the area under the graph of <math>x^2</math> between a and b is the difference in the values of <math>\frac{x^3}{3}+C</math> between a and b.  Note that the constant of integration cancels out.

The Fundamental Theorem of Calculus says that the area under the graph of <math>x^2</math> between a and b is the difference in the values of <math>\frac{x^3}{3}+C</math> between a and b.  The constant of integration cancels out in the definite integral.

===Definite Integrals===

===Definite Integrals===