Integration involving hyperbolic functions, hyperbolic identities and hyperbolic substitutions
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Hyperbolic substitutions for the evaluation of definite or indefinite integrals
You should be already familiar with the technique of integration by substitution. In this section we observe that sometimes an integral can be found by means of a hyperbolic substitution. Example 1 [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] We can also put this into logarithmic form: [Equation goes here - download the original to see it.] Example 2 [Equation goes here - download the original to see it.] Example 3 [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.]
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Contents of
Integration involving hyperbolic functions, hyperbolic identities and hyperbolic substitutions
1 Integration involving hyperbolic functions - Standard forms for the integrals that integrate
2 Hyperbolic substitutions for the evaluation of definite or indefinite integrals
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