Changes
/* Antiderivative vs Integration */ edited function names for easier connection to the Fundamental Theorem of Calculus
There are important differences between the anti-derivative and integration. An anti-derivative of a function <math>f(x)</math> is a function <math>g(x)</math> such that,
:<math>\frac{d}{dx}gF(x)=f(x)</math>
The integral of a function can be evaluated using its antiderivative,
:<math>\int_a^b f(x)dx=gF(b)-gF(a)</math>
This works for the kind of functions encountered in late high school and early university mathematics. It is, however, an incomplete method. For example one cannot write the anti-derivative of <math>e^{x^{2}}</math> in terms of familiar functions (such as [[trigonometric function]]s, [[exponential]]s, and [[logarithm]]s) and function operations.
