Small Integration: Learn How to Navigate the Second Line

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To navigate the second line in the integration process, the integral can be split into two parts: from -L to 0 and from 0 to L. This allows for the removal of absolute values, simplifying the integration. After performing the integration, substituting the limits is essential. Finally, letting L approach infinity completes the process. This method effectively facilitates the integration of functions over symmetric intervals.
electronic engineer
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Hello.I actually didn't know exactly how do we get to the second line with this integration.
 

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Integrate this by splitting up the interval on which it is done:

\int^L_{-L} f(t) dt = \int^L_{0} f(t) dt + \int^0_{-L} f(-t) dt

Then you'll be able to remove the '| |' and integrate it normally. When you're done with the integration, just substitute in the limits and let L approach infinity.
 

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