# Chebyshev theorem on the integration of binomial differentials

From Encyclopedia of Mathematics

The indefinite integral of the binomial differential

where and are real numbers and and are rational numbers, cannot be expressed in terms of elementary functions for any and , except in the case where (at least) one of and is an integer. Obtained by P.L. Chebyshev (1853).

#### Comments

See also Differential binomial.

**How to Cite This Entry:**

Chebyshev theorem on the integration of binomial differentials.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Chebyshev_theorem_on_the_integration_of_binomial_differentials&oldid=17835

This article was adapted from an original article by V.I. Bityutskov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article