Functions > Symbolic Functions > Sine and Cosine Integrals
Sine and Cosine Integrals
Si(x)—The Sine integral function is defined as:
The series expansion representation is:
The displayed result represents, three out of the default six, terms of the series that do not have coefficients of 0.
Ci(x)—The Cosine integral function is defined as:
Another form of the definition is:
The series expansion representation is:
The last two terms represent, two out of the default six, terms of the series that do not have coefficients of 0.
Shi(x)—The Hyperbolic sine integral function is defined as:
The displayed result represents, three out of the default six, terms of the series that do not have coefficients of 0.
The terms of the series expansion of the Si and Shi functions are identical except for the sign of the terms where n is even.
Chi(x)—The Hyperbolic cosine integral function is defined as:
Another form of the definition is:
The last two terms represent, two out of the default six, terms of the series that do not have coefficients of 0.
The terms of the series expansion of the Ci and Chi functions are identical except for the sign of the terms where n is odd.
Arguments
x is a real or complex scalar, or a vector of real or complex scalars.