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THEOREM 7.6 Integrals of Hyperbolic Functions 1. tanh x dr = In cosh x + C 2. cothx dx = In|sinh x| + C 3. sech x dx = tan(sinh x) + C 4. csch x dx = In|tanh(x/2)| + C Integral proof Prove the formula f coth x dx = In |sinh x| + C of Theorem 7.6.

THEOREM 7.6 Integrals of Hyperbolic Functions 1. tanh x dr = In cosh x + C 2. cothx dx = In|sinh x| + C 3. sech x dx = tan(sinh x) + C 4. csch x dx = In|tanh(x/2)| + C Integral proof Prove the formula f coth x dx = In |sinh x| + C of Theorem 7.6.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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THEOREM 7.6 Integrals of Hyperbolic Functions 1. tanh x dr = In cosh x + C 2. cothx dx = In|sinh x| + C 3. sech x dx = tan(sinh x) + C 4. csch x dx = In|tanh(x/2)| + C
Transcribed Image Text:THEOREM 7.6 Integrals of Hyperbolic Functions 1. tanh x dr = In cosh x + C 2. cothx dx = In|sinh x| + C 3. sech x dx = tan(sinh x) + C 4. csch x dx = In|tanh(x/2)| + C
Integral proof Prove the formula f coth x dx = In |sinh x| + C of Theorem 7.6.
Transcribed Image Text:Integral proof Prove the formula f coth x dx = In |sinh x| + C of Theorem 7.6.
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