Saturday, January 7, 2017

First make a substitution and then use integration by parts to evaluate the integral

You need to use the substitution , such that:



Replacing the variable, yields:




You need to use the integration by parts such that:





You need to use the substitution , such that:



Replacing the variable, yields:




You need to use the integration by parts such that:







Replacing back the variable, yields:



Using the fundamental theorem of integration, yields:





Hence, evaluating the integral, using substitution, then integration by parts, yields

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