I Integration Using Hyperbolic Substitution

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Integration using hyperbolic substitution can simplify certain integrals by transforming them into more manageable forms. A common example involves substituting variables in integrals that contain expressions like √(x² + a²) or √(x² - a²). The hyperbolic identities, such as sinh²(u) + 1 = cosh²(u), are often utilized in these substitutions. Online resources provide detailed examples and explanations for better understanding. For practical applications, refer to websites that specialize in mathematical substitutions and integration techniques.
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Can someone please show me an example of integration using hyperbolic substitution?

Thank you
 
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