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.

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Related functions

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

External links

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