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Integration of a rational fraction of a special kind
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UDC: 514.116
Publication Language: English
Stuc. intelekt. 2013; 18(4):253-258
Abstract: In the paper new representations for the functions cosⁿx and sinⁿx are obtained, which are effective for evaluation of many integrals, especially Kn=∫(x²+a²)⁻ⁿdx . It is found a primitive of the integral Kn in the explicit form, while in the mathematical analysis this integral is calculated by means of a recurrent equation. Besides, the received representation gives new representation of Wallace’s formula.
Keywords: integral, rational fraction, sine, cosine, identity, primitive
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