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.
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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.