Chebyshev theorem on the integration of binomial differentials
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).
See also Differential binomial.
Chebyshev theorem on the integration of binomial differentials. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Chebyshev_theorem_on_the_integration_of_binomial_differentials&oldid=17835