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Integration of irrational algebraic fractions of the form \(\frac{{ax + b}}{{\surd (c{x^2} + dx + e)}},c < 0\)

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Integration

Part of the book series: Core Books in Advanced Mathematics ((CBAM))

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Abstract

If a = 0, then the integral can be reduced to \(\int {\frac{1}{{\surd ({a^2} - {x^2})}}} dx = {\sin ^{ - 1}}\left( {\frac{x}{a}} \right).\).

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© 1983 C.T. Moss and C. Plumpton

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Moss, C.T., Plumpton, C. (1983). Integration of irrational algebraic fractions of the form \(\frac{{ax + b}}{{\surd (c{x^2} + dx + e)}},c < 0\). In: Integration. Core Books in Advanced Mathematics. Palgrave, London. https://doi.org/10.1007/978-1-349-06045-0_5

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