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​​​​Assuming $s>\mid a \mid$; Laplace transform of $f(x)=\cosh a x$ is

  1. $\frac{s}{s^{2}+a^{2}}$
  2. $\frac{a}{s^{2}+a^{2}}$
  3. $\frac{s}{s^{2}-a^{2}}$
  4. $\frac{a}{s^{2}-a^{2}}$

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