Hello.I actually didn't know exactly how do we get to the second line with this integration.
May 24, 2008 #1 electronic engineer 143 0 Hello.I actually didn't know exactly how do we get to the second line with this integration. Attachments integral.JPG 19.9 KB Views: 327
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May 24, 2008 #2 Defennder Homework Helper 2,591 5 Integrate this by splitting up the interval on which it is done: [tex]\int^L_{-L} f(t) dt = \int^L_{0} f(t) dt + \int^0_{-L} f(-t) dt [/tex] 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.
Integrate this by splitting up the interval on which it is done: [tex]\int^L_{-L} f(t) dt = \int^L_{0} f(t) dt + \int^0_{-L} f(-t) dt [/tex] 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.