In summary, hyperbolic substitution is a method used in calculus to simplify and solve integrals involving hyperbolic functions. It is typically used when the integrand contains terms that can be rewritten in terms of hyperbolic functions and involves replacing these terms with simpler expressions. Some common hyperbolic substitutions include using x = a sinh(u) or x = a tanh(u), but other substitutions may also be used. However, there are limitations to using hyperbolic substitution, as it may not always be the most efficient method and may not work for all integrals. It is important to consider other techniques and check for solvability before using hyperbolic substitution.
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askor
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Can someone please show me an example of integration using hyperbolic substitution?