Intergrating a derivative of absolute value in exponential

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hey~ folks!

i'm in trouble with this integral problem.

the range of the integral is from -∞ to ∞ and it has x as independent value.

and the integrand is a derivative of absolute value in exponential;

∫[itex]^{∞}_{-∞}[/itex] (d/dx e[itex]^{-a|x|}[/itex])dx

any idea for the problem??
 
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  • #2
Hootenanny
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hey~ folks!

i'm in trouble with this integral problem.

the range of the integral is from -∞ to ∞ and it has x as independent value.

and the integrand is a derivative of absolute value in exponential; e[itex]^{a|x|}[/itex]

any idea for the problem??
Welcome to Physics Forums.

What is the definition of the absolute value function? Can you think of a way to re-write the integrand without the absolute value sign?
 
  • #3
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Use a technique like one might use when integrating other piecewise functions; that integral can be expressed as the sum of two definite integrals.
 
  • #4
SammyS
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Is the constant, α, positive ?
 

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