Functions > Symbolic Functions > Sine and Cosine Integrals
Sine and Cosine Integrals
Si(x)—The Sine integral function is defined as:
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The series expansion representation is:
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The displayed result represents, three out of the default six, terms of the series that do not have coefficients of 0.
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Ci(x)—The Cosine integral function is defined as:
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Another form of the definition is:
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The series expansion representation is:
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The last two terms represent, two out of the default six, terms of the series that do not have coefficients of 0.
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Shi(x)—The Hyperbolic sine integral function is defined as:
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The displayed result represents, three out of the default six, terms of the series that do not have coefficients of 0.
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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:
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Another form of the definition is:
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The last two terms represent, two out of the default six, terms of the series that do not have coefficients of 0.
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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.
Additional Information
These functions are useful with using the float keyword that numerically evaluates functions instead of returning symbolic math.
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