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/01.07.21.2654.01

 Input Form

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

 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