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Lesson 10 Inverse Hyperbolic Functions

# Lesson 10 Inverse Hyperbolic Functions - -x cos 4 xdx cos 2...

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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 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 6 - 16
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Unformatted text preview: -x cos 4 xdx cos . 2 2 âˆ« + + 5 x 6 x xdx 3 . 3 2 4 âˆ«--3 2 2 5 x 12 x 9 dx . 4 7 âˆ« + 2 x 4 dx . 1 âˆ«-4 x 16 xdx . 2 âˆ«--2 x x 4 2 dx . 3 âˆ« +-3 t 4 t dt . 4 2 âˆ«-1 x xdx . 5 4 âˆ« + + 1 2 2 z 2 z dz . 6 âˆ«-16 e 9 dx e . 7 x 4 x 2 âˆ« + 2 / 2 d sin 1 cos . 8 Ï€ Î² Evaluate the following integral EXERCISES:...
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