Integration involving hyperbolic functions, hyperbolic identities and hyperbolic substitutions
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Hyperbolic substitutions for the evaluation of definite or indefinite integrals
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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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