-Lesson 10 Inverse Hyperbolic Functions.ppt

# -Lesson 10 Inverse Hyperbolic Functions.ppt

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INTEGRATION OF INVERSE HYPERBOLIC FUNCTIONS

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Review Theorem 6.9.4 (p. 480)
Review Theorem 6.9.5 (p. 481)

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Review Theorem 6.9.6 (p. 481)
Comparison of Integrals (Inverse Trig & Inverse Hyperbolic) 5 When given integral problems, look for these patterns When given integral problems, look for these patterns C a a u u ln C a u sinh a u du . 1 2 2 1 2 2 C a a u u ln C a u cosh a u du . 2 2 2 1 2 2 C u a u a ln a 2 1 a u , C a u coth a 1 a u , C a u tanh a 1 u a du . 3 1 1 2 2 C a u sin u a du . 1 1 2 2 C a u tan a 1 u a du . 2 1 2 2 C a u sec a 1 a u u du . 3 1 2 2

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Integrate the following
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