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; }

 Cos

 http://functions.wolfram.com/01.07.21.2647.01

 Input Form

 Integrate[(E^(p z) Cos[e z] Cos[d z])/(a + b Sin[c z]), z] == (1/4) (-((I E^((I c - I d - I e + p) z) ((a + Sqrt[a^2 - b^2]) Hypergeometric2F1[-((I (I c - I d - I e + p))/ c), 1, 2 - (I ((-I) d - I e + p))/c, -((I b E^(I c z))/(-a + Sqrt[a^2 - b^2]))] + (-a + Sqrt[a^2 - b^2]) Hypergeometric2F1[-((I (I c - I d - I e + p))/c), 1, 2 - (I ((-I) d - I e + p))/c, (I b E^(I c z))/ (a + Sqrt[a^2 - b^2])]))/(b Sqrt[a^2 - b^2] (I c - I d - I e + p))) - (I E^((I c + I d - I e + p) z) ((a + Sqrt[a^2 - b^2]) Hypergeometric2F1[-((I (I c + I d - I e + p))/c), 1, 2 - (I (I d - I e + p))/c, -((I b E^(I c z))/ (-a + Sqrt[a^2 - b^2]))] + (-a + Sqrt[a^2 - b^2]) Hypergeometric2F1[-((I (I c + I d - I e + p))/c), 1, 2 - (I (I d - I e + p))/c, (I b E^(I c z))/(a + Sqrt[a^2 - b^2])]))/ (b Sqrt[a^2 - b^2] (I c + I d - I e + p)) - (I E^((I c - I d + I e + p) z) ((a + Sqrt[a^2 - b^2]) Hypergeometric2F1[-((I (I c - I d + I e + p))/c), 1, 2 - (I ((-I) d + I e + p))/c, -((I b E^(I c z))/ (-a + Sqrt[a^2 - b^2]))] + (-a + Sqrt[a^2 - b^2]) Hypergeometric2F1[-((I (I c - I d + I e + p))/c), 1, 2 - (I ((-I) d + I e + p))/c, (I b E^(I c z))/ (a + Sqrt[a^2 - b^2])]))/(b Sqrt[a^2 - b^2] (I c - I d + I e + p)) - (I E^((I c + I d + I e + p) z) ((a + Sqrt[a^2 - b^2]) Hypergeometric2F1[-((I (I c + I d + I e + p))/c), 1, 2 - (I (I d + I e + p))/c, -((I b E^(I c z))/ (-a + Sqrt[a^2 - b^2]))] + (-a + Sqrt[a^2 - b^2]) Hypergeometric2F1[-((I (I c + I d + I e + p))/c), 1, 2 - (I (I d + I e + p))/c, (I b E^(I c z))/(a + Sqrt[a^2 - b^2])]))/ (b Sqrt[a^2 - b^2] (I c + I d + 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