html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Cosh

 http://functions.wolfram.com/01.20.21.1332.01

 Input Form

 Integrate[(E^(p z) Cosh[d z])/(a Sin[e z]^2 + b Cos[e z]^2)^2, z] == (1/2) (-((I E^((-d + 2 I e + p) z) ((Sqrt[-a] + I Sqrt[b])^2 (-a - b) Hypergeometric2F1[1 - (I (-d + p))/(2 e), 1, 2 - (I (-d + p))/(2 e), ((-a + b) E^(2 I e z))/(Sqrt[-a] - I Sqrt[b])^2] - (Sqrt[-a] - I Sqrt[b])^2 (-a - b) Hypergeometric2F1[ 1 - (I (-d + p))/(2 e), 1, 2 - (I (-d + p))/(2 e), ((-a + b) E^(2 I e z))/(Sqrt[-a] + I Sqrt[b])^2] - 2 I Sqrt[-a] Sqrt[b] ((Sqrt[-a] + I Sqrt[b])^2 Hypergeometric2F1[ 1 - (I (-d + p))/(2 e), 2, 2 - (I (-d + p))/(2 e), ((-a + b) E^(2 I e z))/(Sqrt[-a] - I Sqrt[b])^2] + (Sqrt[-a] - I Sqrt[b])^2 Hypergeometric2F1[1 - (I (-d + p))/(2 e), 2, 2 - (I (-d + p))/(2 e), ((-a + b) E^(2 I e z))/ (Sqrt[-a] + I Sqrt[b])^2])))/(2 (-a)^(3/2) b^(3/2) (-a + b) (-d + 2 I e + p))) - (I E^((d + 2 I e + p) z) ((Sqrt[-a] + I Sqrt[b])^2 (-a - b) Hypergeometric2F1[ 1 - (I (d + p))/(2 e), 1, 2 - (I (d + p))/(2 e), ((-a + b) E^(2 I e z))/(Sqrt[-a] - I Sqrt[b])^2] - (Sqrt[-a] - I Sqrt[b])^2 (-a - b) Hypergeometric2F1[ 1 - (I (d + p))/(2 e), 1, 2 - (I (d + p))/(2 e), ((-a + b) E^(2 I e z))/(Sqrt[-a] + I Sqrt[b])^2] - 2 I Sqrt[-a] Sqrt[b] ((Sqrt[-a] + I Sqrt[b])^2 Hypergeometric2F1[ 1 - (I (d + p))/(2 e), 2, 2 - (I (d + p))/(2 e), ((-a + b) E^(2 I e z))/(Sqrt[-a] - I Sqrt[b])^2] + (Sqrt[-a] - I Sqrt[b])^2 Hypergeometric2F1[1 - (I (d + p))/(2 e), 2, 2 - (I (d + p))/(2 e), ((-a + b) E^(2 I e z))/ (Sqrt[-a] + I Sqrt[b])^2])))/(2 (-a)^(3/2) b^(3/2) (-a + b) (d + 2 I e + p)))

 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