How Do You Integrate e^|x-5| Over Different Intervals?

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SUMMARY

The integration of the function e^|x-5| requires splitting the integral into two distinct intervals: x < 5 and x > 5. This approach simplifies the absolute value by treating it as e^(5-x) for x < 5 and e^(x-5) for x > 5. By applying this method, one can effectively compute the integral over the specified intervals, ensuring accurate results.

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I need to integrate e^abs(x-5)

I'm confused as to how I can treat the absolute value in the exponent. Can I split it up between X<5 and X>5?
 
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barksdalemc said:
I need to integrate e^abs(x-5)

I'm confused as to how I can treat the absolute value in the exponent. Can I split it up between X<5 and X>5?

Seems like a good idea.
 

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