In my book, a list of integrals have been given which the author states
... such anti-derivatives "cannot be found".
Some of the members of the list are as under:
$\int\dfrac{\sin x}{x} dx$ , $\int\dfrac{1}{\log x} dx$, $\int\sqrt{1 - k^2\sin^2x}dx$, $\int\sqrt{\sin x}dx$, $\int\cos(x...
In mathematics, the unitary group of degree n, denoted U(n), is the group of n × n unitary matrices, with the group operation of matrix multiplication. The unitary group is a subgroup of the general linear group GL(n, C). Hyperorthogonal group is an archaic name for the unitary group, especially over finite fields. For the group of unitary matrices with determinant 1, see Special unitary group.
In the simple case n = 1, the group U(1) corresponds to the circle group, consisting of all complex numbers with absolute value 1 under multiplication. All the unitary groups contain copies of this group...
