For many years calculus focused on finding the anti-derivative of a function in order to integrate it. However for such functions as <math>e^{x^{2}}</math> no such antiderivative exists.
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For many years calculus focused on finding the anti-derivative of a function in order to integrate it. It is interesting, however, that for some functions, such as <math>e^{x^{2}}</math>, the anti-derivative cannot be expressed in terms of elementary functions, such as sines, logs, square roots, etc.