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 Tanh

 http://functions.wolfram.com/01.21.21.0162.01

 Input Form

 Integrate[Cos[a z] Sinh[b z] Tanh[c z], z] == (1/4) (-((1/((-I) a - b + 2 c)) (E^(((-I) a - b + 2 c) z) Hypergeometric2F1[1 + ((-I) a - b)/(2 c), 1, 2 + ((-I) a - b)/(2 c), -E^(2 c z)])) - (E^((I a - b + 2 c) z) Hypergeometric2F1[ 1 + (I a - b)/(2 c), 1, 2 + (I a - b)/(2 c), -E^(2 c z)])/ (I a - b + 2 c) + (1/((-I) a + b + 2 c)) (E^(((-I) a + b + 2 c) z) Hypergeometric2F1[1 + ((-I) a + b)/(2 c), 1, 2 + ((-I) a + b)/(2 c), -E^(2 c z)]) + (E^((I a + b + 2 c) z) Hypergeometric2F1[ 1 + (I a + b)/(2 c), 1, 2 + (I a + b)/(2 c), -E^(2 c z)])/ (I a + b + 2 c) + (E^(((-I) a - b) z) Hypergeometric2F1[ ((-I) a - b)/(2 c), 1, 1 + ((-I) a - b)/(2 c), -E^(2 c z)])/ ((-I) a - b) + (E^((I a - b) z) Hypergeometric2F1[(I a - b)/(2 c), 1, 1 + (I a - b)/(2 c), -E^(2 c z)])/(I a - b) - (E^(((-I) a + b) z) Hypergeometric2F1[((-I) a + b)/(2 c), 1, 1 + ((-I) a + b)/(2 c), -E^(2 c z)])/((-I) a + b) - (E^((I a + b) z) Hypergeometric2F1[(I a + b)/(2 c), 1, 1 + (I a + b)/(2 c), -E^(2 c z)])/(I a + b))

 Standard Form

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 MathML Form

 Rule Form

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 Date Added to functions.wolfram.com (modification date)

 2002-12-18