COSINTEGRAL function

Description

COSINTEGRAL(x) returns the value of the cosine integral function of x. The cosine integral function is defined as:

$$ {\rm Ci}(x) = \gamma + \ln x + \int_0^x\frac{\cos t-1}{t}\,dt $$

where γ = 0.57721566490153 (Euler-Mascheroni constant).

The argument x can be a real number or a matrix. When it is a matrix, the function returns a matrix with the same dimensions and with the COSINTEGRAL function applied to all elements.

Graph

Function:	CosIntegral()
	X-axis	Y-axis
Minimum:	Minimum X	Minimum Y
Maximum:	Maximum X	Maximum Y

Enter the argument(s) for the function, including the symbol x.
Enter the minimum and maximum for the X-axis and for the Y-axis.
To let the software define the Y-axis automatically, leave both input fields for the Y-axis empty.

Related functions

• COS function: returns the cosine of a number
• Trigonometric functions

External links

• Trigonometric integral on Wikipedia.
• Euler-Mascheroni constant on Wikipedia