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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving functions of the direct function, trigonometric and exponential functions > Involving rational functions of the direct function, trigonometric and exponential functions > Involving rational functions of sin and exp > Involving ep zcos(d z)(a sin(e z)+b cos(e z))-n





http://functions.wolfram.com/01.07.21.2667.01









  


  










Input Form





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










Standard Form





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MathML Form







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Rule Form





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





2002-12-18