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Math Help - hyperbolic functions

  1. #1
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    Question hyperbolic functions

    show that Sinh(x+y)=sinhx+Coshxsinhy

    and
    using reduction formula: find the integral of cos^n xdx=(SinxCos^n-1 x)/n+(n-1)/n integral of Cos^n-2 xdx
    Last edited by Count Hesabu; April 15th 2008 at 04:33 AM. Reason: similarity
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  2. #2
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     \sinh x \cosh y + \cosh x \sinh y

    \frac{e^x - e^{-x}}{2} \frac{e^y + e^{-y}}{2} + \frac{e^x + e^{-x}}{2} \frac{e^y - e^{-y}}{2}

    \frac{e^{(x+y)} + e^{(x-y)} - e^{(-x+y)} - e^{-(x+y)}}{4} + \frac{e^{(x+y)} - e^{(x-y)} + e^{(-x+y)} - e^{-(x+y)}}{4}

    \frac{e^{(x+y)} - e^{-(x+y)}}{2} = \sinh (x+y)
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  3. #3
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    Quote Originally Posted by Count Hesabu View Post
    [snip]
    using reduction formula: find the integral of cos^n xdx=(SinxCos^n-1 x)/n+(n-1)/n integral of Cos^n-2 xdx
    Read this: Integration by reduction formulae - Wikipedia, the free encyclopedia
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