Hence complete the square. s. 2 + 10s + 34 = s2 + 10s + 25 e−x(ex. − e. −x) e−x. (ex + e. −x. ) =(1 − e−2x). (1 + e. −2x. ) Whence,. L(f)(s) = tanh(as. 2. ) s. , s> 0.
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De Moivre's formula. For any complex number z the argument of its square Requiring ex · ey = ex+y to be true for all complex numbers helps us decide what.
