Trigonometric integral

The Integralkosinus is a function in the function of regulation is an integral and the cosine function occur. This integral function can not be represented without integral with elementary methods.

The Integralkosinus is defined as:

This is the Euler - Mascheroni constant

Properties

• The problem encountered in the definition of the integral is also referred to:

• Analogously to the derivation of the integral of the sine Si ( X):

• Analog of the complex Euler formula definition of the cosine:

• It can specify an everywhere convergent series:

Note: In various formularies of Integralkosinus is defined with the opposite sign.

Closely related to the sine integral Si (x ), which forms a clothoid with the Integralcosinus Ci ( x) in parametric representation.