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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric and exponential functions > Involving sin and exp > Involving eb zr+e sin(a zr+q) sinh(c zr+g)





http://functions.wolfram.com/01.19.21.1199.01









  


  










Input Form





Integrate[E^(b z^r + e) Sin[a z^r + q] Sinh[c z^r + g], z] == (z/(4 r)) (((-E^(e + g - (I Pi)/2 + I q)) Gamma[1/r, ((-I) a - b - c) z^r])/ (((-I) a - b - c) z^r)^r^(-1) - (E^(e + g + (I Pi)/2 - I q) Gamma[1/r, (I a - b - c) z^r])/ ((I a - b - c) z^r)^r^(-1) + (E^(e - g - (I Pi)/2 + I q) Gamma[1/r, ((-I) a - b + c) z^r])/(((-I) a - b + c) z^r)^r^(-1) + (E^(e - g + (I Pi)/2 - I q) Gamma[1/r, (I a - b + c) z^r])/ ((I a - b + c) z^r)^r^(-1))










Standard Form





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MathML Form







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<ci> c </ci> <apply> <times /> <imaginaryi /> <ci> a </ci> </apply> </apply> <apply> <power /> <ci> z </ci> <ci> r </ci> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2002-12-18