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AUTHOR(S): Shella F. Fanoga
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TITLE Modified LIATHE Rule by Including Inverse Hyperbolic Functions |
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ABSTRACT The study aimed to evaluate indefinite integrals involving inverse hyperbolic functions using column integration. LIATHE (Logarithm, Inverse trigonometric, Algebraic, Trigonometric, Hyperbolic and Exponential) rule was modified by including inverse hyperbolic function that makes the meaning into (Logarithm, Inverse trigonometric/ Inverse hyperbolic, Algebraic, Trigonometric, Hyperbolic and Exponential). Applications of modified LIATHE rule on integrals of products that include inverse hyperbolic functions were illustrated. Horowitz’s diagram was adopted and modified for better evaluation of the integrals. Inclusion of inverse hyperbolic functions in LIATHE rule made this expository study distinct from other studies in Calculus. Generalized formula that includes inverse hyperbolic functions of the form... |
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KEYWORDS inverse hyperbolic functions, elementary functions, reduction formula, tabular integration by parts, LIATHE, and modified LIATHE rule |
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Cite this paper Shella F. Fanoga. (2025) Modified LIATHE Rule by Including Inverse Hyperbolic Functions. International Journal of Mathematical and Computational Methods, 10, 212-221 |
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